<description/> <author>Steven Fahey</author> <company>Mathsoft Engineering & Education, Inc.</company> <keywords/> <revisedBy>Steven Fahey</revisedBy> </userData> <identityInfo> <revision>16</revision> <documentID>f2b5bc3c-a146-41d9-a5a6-714dfcaa36b0</documentID> <versionID>4be901c3-8db4-49a2-badf-a5e2658f7631</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="14" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 2"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="bold" font-style="italic" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 3"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Paragraph"> <blockAttr margin-left="0" margin-right="0" text-indent="21" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="List"> <blockAttr margin-left="14.25" margin-right="0" text-indent="-14.25" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Indent"> <blockAttr margin-left="108" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" imaginary-value="i" zero-threshold="15"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC12" local-assignment="MC12"/> </calculationBehavior> <units> <currentUnitSystem name="us" customized="true"/> <customUnitSystem base-unit-system="us"> <baseUnits> <unit unit-name="kelvin" quantity-name="thermodynamic_temperature"/> <unit unit-name="second" quantity-name="time"/> <unit unit-name="pound" quantity-name="mass"/> <unit unit-name="mole" quantity-name="amount_of_substance"/> <unit unit-name="ampere" quantity-name="current"/> <unit unit-name="inch" quantity-name="length"/> <unit unit-name="candela" quantity-name="luminous_intensity"/> </baseUnits> <derivedUnits> <unit unit-name="pounds_per_sq_inch" quantity-name="pressure"/> <unit unit-name="ohm" quantity-name="resistance"/> <unit unit-name="stokes" quantity-name="viscosity_kinematic"/> <unit unit-name="gallon" quantity-name="volume"/> <unit unit-name="oersted" quantity-name="magnetic_field"/> <unit unit-name="tesla" quantity-name="magnetic_flux_density"/> <unit unit-name="watt" quantity-name="power"/> <unit unit-name="weber" quantity-name="magnetic_flux"/> <unit unit-name="farad" quantity-name="capacitance"/> <unit unit-name="coulomb" quantity-name="charge"/> <unit unit-name="volt" quantity-name="electric_potential"/> <unit unit-name="gallons_per_minute" quantity-name="flow_rate"/> <unit unit-name="pound_force" quantity-name="force"/> <unit unit-name="lux" quantity-name="illuminosity"/> <unit unit-name="henry" quantity-name="inductance"/> </derivedUnits> </customUnitSystem> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="1140" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="1140" left="6" top="14.25" width="83.25" height="12" align-x="6" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Mathcad can solve!</p> </text> </region> <region region-id="1125" left="288" top="27" width="27" height="12.75" align-x="302.25" align-y="36" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">A</ml:id> <ml:real>5</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="1126" left="30" top="45" width="51" height="16.5" align-x="45" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="S">t</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.032</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="1127" left="156" top="45" width="52.5" height="16.5" align-x="172.5" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="D">t</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.040</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1128" left="288" top="45" width="32.25" height="12.75" align-x="300.75" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">B</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="1129" left="30" top="63" width="82.5" height="22.5" align-x="48" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="S">E</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10.5</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="1130" left="156" top="63" width="84" height="22.5" align-x="175.5" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="D">E</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10.5</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="1131" left="288" top="63" width="83.25" height="22.5" align-x="306.75" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R">E</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10.5</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="1132" left="30" top="93" width="48" height="16.5" align-x="46.5" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="1">L</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.62</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="1133" left="156" top="93" width="60" height="12.75" align-x="184.5" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">pitch</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.75</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="1134" left="288" top="93" width="60" height="16.5" align-x="312" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R1">D</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.133</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="1135" left="30" top="117" width="48" height="16.5" align-x="46.5" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="2">L</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.81</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="1136" left="288" top="117" width="60" height="16.5" align-x="312" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R2">D</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.133</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="1058" left="6" top="158.25" width="31.5" height="12" align-x="6" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Guess:</p> </text> </region> <region region-id="1059" left="24" top="176.25" width="55.5" height="27.75" align-x="41.25" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="o">q</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>248</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="1060" left="90" top="183" width="36" height="16.5" align-x="107.25" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="1061" left="144" top="183" width="37.5" height="16.5" align-x="162.75" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="D">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="1062" left="198" top="183" width="41.25" height="16.5" align-x="220.5" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R1">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="1063" left="258" top="183" width="41.25" height="16.5" align-x="280.5" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R2">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="1064" left="318" top="183" width="42" height="16.5" align-x="341.25" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="D2">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="1065" left="378" top="183" width="40.5" height="16.5" align-x="399.75" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="S2">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="1093" left="6" top="231" width="24" height="12.75" align-x="17.25" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math20">Given</ml:id> </math> <rendering item-idref="21"/> </region> <region region-id="1109" left="24" top="249" width="74.25" height="16.5" align-x="86.25" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="D">q</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="22"/> </region> <region region-id="1110" left="24" top="273" width="85.5" height="16.5" align-x="97.5" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="D2">q</ml:id> <ml:id xml:space="preserve" subscript="R1">q</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="D">q</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="23"/> </region> <region region-id="1111" left="24" top="297" width="82.5" height="16.5" align-x="94.5" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="S2">q</ml:id> <ml:id xml:space="preserve" subscript="R1">q</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="S">q</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="24"/> </region> <region region-id="1112" left="24" top="321" width="84.75" height="16.5" align-x="96.75" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="R2">q</ml:id> <ml:id xml:space="preserve" subscript="R1">q</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="D">q</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="25"/> </region> <region region-id="1113" left="24" top="346.5" width="241.5" height="35.25" align-x="253.5" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="1">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">t</ml:id> <ml:id xml:space="preserve" subscript="S">E</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">q</ml:id> <ml:id xml:space="preserve" subscript="1">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">t</ml:id> <ml:id xml:space="preserve" subscript="D">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="R1">q</ml:id> <ml:id xml:space="preserve">pitch</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="R">E</ml:id> <ml:id xml:space="preserve" subscript="R1">D</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">A</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="R1">D</ml:id> <ml:id xml:space="preserve" subscript="D">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="R1">D</ml:id> <ml:id xml:space="preserve" subscript="S">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="26"/> </region> <region region-id="1114" left="24" top="388.5" width="328.5" height="35.25" align-x="340.5" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="1">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">t</ml:id> <ml:id xml:space="preserve" subscript="S">E</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S2">q</ml:id> <ml:id xml:space="preserve" subscript="2">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">t</ml:id> <ml:id xml:space="preserve" subscript="S">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">q</ml:id> <ml:id xml:space="preserve" subscript="1">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">t</ml:id> <ml:id xml:space="preserve" subscript="D">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D2">q</ml:id> <ml:id xml:space="preserve" subscript="2">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">t</ml:id> <ml:id xml:space="preserve" subscript="D">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="R2">q</ml:id> <ml:id xml:space="preserve">pitch</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="R">E</ml:id> <ml:id xml:space="preserve" subscript="R2">D</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">A</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="R2">D</ml:id> <ml:id xml:space="preserve" subscript="D">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="R2">D</ml:id> <ml:id xml:space="preserve" subscript="S">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="27"/> </region> <region region-id="1115" left="24" top="448.5" width="177" height="117.75" align-x="58.5" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:matrix rows="6" cols="1"> <ml:id xml:space="preserve" subscript="s">q</ml:id> <ml:id xml:space="preserve" subscript="d">q</ml:id> <ml:id xml:space="preserve" subscript="r1">q</ml:id> <ml:id xml:space="preserve" subscript="r2">q</ml:id> <ml:id xml:space="preserve" subscript="d2">q</ml:id> <ml:id xml:space="preserve" subscript="s2">q</ml:id> </ml:matrix> <ml:apply> <ml:Find auto-method="true" method="linear" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="D">q</ml:id> <ml:id xml:space="preserve" subscript="R1">q</ml:id> <ml:id xml:space="preserve" subscript="R2">q</ml:id> <ml:id xml:space="preserve" subscript="D2">q</ml:id> <ml:id xml:space="preserve" subscript="S2">q</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="1118" left="288" top="448.5" width="90" height="117.75" align-x="321" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:matrix rows="6" cols="1"> <ml:id xml:space="preserve" subscript="s">q</ml:id> <ml:id xml:space="preserve" subscript="d">q</ml:id> <ml:id xml:space="preserve" subscript="r1">q</ml:id> <ml:id xml:space="preserve" subscript="r2">q</ml:id> <ml:id xml:space="preserve" subscript="d2">q</ml:id> <ml:id xml:space="preserve" subscript="s2">q</ml:id> </ml:matrix> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:matrix rows="6" cols="1"> <ml:real>134.14353374538925</ml:real> <ml:real>113.85646625461075</ml:real> <ml:real>35.18947961389329</ml:real> <ml:real>78.666986640717454</ml:real> <ml:real>78.666986640717454</ml:real> <ml:real>169.33301335928252</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="-1"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <general precision="1" show-trailing-zeros="true" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="29"/> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yNOxOCMBCE74iI4gN7CwobY2FBa2PhWOpPwIjvGUcHKSz953HvwN5kNtls vmz6RMSQg2L1BmtyyPJz6Z6X/PQo764KScYE6mq8cpXTiKZQ515s97djUdXRrt4okMU0/Qto rl5OsXtfX2utNsrOoA03bD08JvHs//RXHlWlK47ZSv8n24Apj4gtgxsHzGxx6+ECtgaP4Qzb ltesBY68uBDcZym3beH0baQc+jqCkU+5K20eSQzIS9IDg4aU+2BQkPJAf4QZKgOTCCPwFwAA //8DAG4+JOeDAQAA</item> <item item-id="2">iVBORw0KGgoAAAANSUhEUgAAACQAAAARCAYAAAC1tw6GAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC/SURBVEhL7ZPRDcMgDAWZywN5Hk/j ZTyMa8BRqSGlEqJNpZzEBwlJjsdL0otxC834HyHGpAnZZzthxWTfKgPPhFgJoCzYrSSESuIT YygkRCZSzfeG9EwH3GogJEpULcqxAdmVNwgprIr7O7JUL2Q33ccXwkuk59hG4OhCGB/Z5rQG HSqphBcece6GsROyMoePC1m5Z8dWWE0oPx+EYuMr3yi3wdh2qN1d+6uHXY+SWim1ScQU+1L/ mFtoxsWEVB8NEOxCgEMeDwAAAABJRU5ErkJggg==</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAWCAYAAAB5VTpOAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGVSURBVFhH7ZaBjcMgDEWZi4GYh2lY hmGoDYYYFwfSqqdrypciNcQQ+/FNY9JWpw1EaAMR2kCE/geQ6JM1Jhljk480JqXERG9hTI7H 5C2OyfGQHIy5QLcD9UCCOw3+jDBJSjoX7WBESomB346qzWAo+ehdgxAcQLEeEK2JASlU/xwI bEItRM1hMcYeVjikQh6LgHCLwXWVCtn56jQU31kU7qgsbB4D+Xvl5ZhbdUjOkzsNf5c2qnUz h8z7ay4Bll/KwlgsL04DosccBcl5Wc05NU5AqO5BF8KzcyA5qC4Cxbr1XlzV+0CKsoueWgNq 4ufH0CHlUb3XgXQTaOenh9N1h2Tox0vV82Eak/PvgQQnAL0PhC/4GYeU97Ikh9AXYjpoGGa7 WvK/ERW9CATX5LtZd5tN0pQXG+3aomh+9y655iCmtAnPuajV0S6cw9xr4fOiORk3nT2jNRSx wKf+vKcmQKpKO/0CFB0IWLR+BRYVt7zcFl+iUyDdocMPthtr4pDAzpD7uwO1eIb8jjYQoQ1E aAPplNIDaLaP9xUGchMAAAAASUVORK5CYII=</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAEYAAAAWCAYAAAB9oOpzAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGJSURBVFhH7ZSLrcMgDACZi4EyDwN0 DpbJMNQGJzWODaRtpL48TkIKxPwOg0sTlSnGYIoxmGIMfkvMGpJ3LjnnU1ipTdKJiYtLS6QK osbHtEBbFSeoxcSlGXwtuFhafN7MAi2STgxJeO1hZEwdJmZNwbctXgocitsnN9bSiYkhpMAz ZmRMAxJTOrmcclBGe0sOJzbOGnw1L14JL+5KM4aynV8lMz6vk2cSfpfrte2fZUz/3o0jRPNi TICb4CIsMXoMzBfKuFLMMf5BAoSM7ZphlsE/QwzvUBe52G/xkZgIV4ia+2KgrmZMidnqzYw5 LC7bBEHGqb84nzF57P2f8R4YMbhOOU8RZoz5dTEIpZps/hycny3WB9iKpB/DM8aM5zL4N0J1 JqYMyk9VFUMCj+1AHlQ56VGofyVejqnFMGoxwCGeZbOHB3vPbHxj2L/c2UAXUzqrYm7EG2Ia GXMjTovBl/6aN+a3OCWmSLl/tiCGmHJdyqNUl7cf1j9GM2P+M1OMwRRjMMWopPQEmU8WJ0yq XoIAAAAASUVORK5CYII=</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAACsAAAARCAYAAABEvFULAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADxSURBVEhL7ZSBDYQgDEU7FwMxT6dh GYbptdAoYAHvlORMfImJCLWfTwvQg3jFruKJYgN5AIL2cUgxL7ifiORSHkfYSRLRbVocLyqc jYQOyAcd6hj2Dzci5qjIJNrzl5Z2DQvPE0IrlpFFK9wNvjDByCtUm8jCh2KDHzirx9ibHpGO twiUPHLMNcXJ8ubMMqhq9pQSI24SL2JLcbZYQXtJ/zN31qyna5wVG9FzzaoZXI7zmuWdjQ3+ 3lk51n3OyCtU/aI50nviGJSd7V8tv9N0utXEhwbbxOrAeLquXmiwhMZXZjT/HNyz/88rdhUP Ekv0AZguXuE881I9AAAAAElFTkSuQmCC</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAG4AAAAeCAYAAADNeSs6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJYSURBVGhD7ZeNDYQgDIWZy4GYh2lY hmE4CoUrHKIIeCHpl5icHj+PPlpUWGZL2LhNYeM2hY3bFDZuGcaqQ1ghhJUaH02EjVuCttIZ JlY4hrBxC9BS2EMZvFsDGzcbo+whpJXOPCiTq7KOjZuMUYczS1rt/Qolk8+4DQDjaJlcVTbZ uNlomZXH0shZsHHTgfJ42OAVfBLE33P5GucPVTxQs8vVa2zyJuGsKGZOGlvBwFfxydq79EDW oYb55xuuD++Q8NFIJzNKLtkxLXyQQFy2arKT8c2tFpMVekf0rOLSuH/xs8Ozs+NM5zfbZp8r z/Sso2nc492LJWRkIWWgyvvm2xrOX/8fzC2yA9ofyq3+nCE9Z3idLmt10FuWVj8HPhdRH/ap Gpcal7W7m3I8clGFFWqBooG5DlTFoAT574ZpwLiekm91iKYEo6LmXL9xH4Ym9TkxLur7ybh0 6IKhrq28XvBTZgRKw4cw/v4Fg3DDNGBYD1YBMgQ+o8kRNMU2MCbEOxu3lXHZ4JFsEsyky0XP yzi/adJ9Q2cC2qwzrl9PhapxZZWLWUYqxC3joCE88B1oIFzbFzMuWxRouQq4C+x5BsBYJBA3 zBvWU8PHlMQbNkMaR1tF9GtJ5sqMw0Fq2REGDqbeOvdKQb2kkuwuOkjSSDTQuc76ZRDTIjBG K/A9enpI/eNFdcVMw8vPGz1wV2h0F9KxXDzTjzfumemdxkXibmDzhnjFODeJzGaonIdMB7QU 9idAl3HXb0DMW3RmnHvTSWccZ9s/eXjGMf+GjdsUNm5T2LgtsfYDX67UIId6XVsAAAAASUVO RK5CYII=</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAHAAAAAeCAYAAAD0HpphAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJYSURBVGhD7ZeBza0gDIWZy4GYx2lY xmF4FAoWBK4off4k/RKTqxfh0EMLKissjRi4OGLg4oiBiyMGsnPYfVNWKWW1wUcTEQNZMVY7 4xSHc4gYyIjRym77gXc8iIFcHLvdlLbamQjlkysLxUAmjn1zpmlrvG+hlMoeuBBgIC2fXOVU DOTC6KxslobOQgxkA8rmZoNn8CkRf8/lNNBvurjhZper49jkC8JeUihIWntBwSP85DkM6YEs RA3z9z+cH94h4aOTDnbsmmXl3MEHC0RmsycrG096tdhw6H6jh4ufBn7NZcVne0tL75l9s/ed Z3r46Br4ehVjaXkzoTJg5X33dIfj1/8Hk4tsgfbb7qLQ5pWeFl6ny2IT9JYl14+Bz1XUh+9U DUyNy5r+mLJfclGlFWoBowH6HbCKUQny3w3zgPd6Ss5qEc0JhkXNuf7DfVge6Z2GgVHfmYFk kOIaXm2DzAiYgQ9q/H0F53bDPOC1HqwKpAt8RpMlaIptoM9LrHsZmHVOuIiLp6zWC4l5GejH TPd9vQFow2fguJ4KVQPL6heTiFSMWwZCQ3xQXV3exFml9solYHRyoO1X4J2+dkZAXyQgD0ro sJ4a3gwSd4hp6sfYneg3moyVGYid1LIkdlwvD2FlVINUChvFLw7UQTtJWsnCoWO13ssg5kWg j54BI3pGSO/Hi+oK8c3HJRUtNLpH3cDQWXuVCz/xBj4zf4KBnQwU7vGlgX5PeFo6BActkb3D Vp1XBgbzJPu+5KaBxUZKruYZQfgvDGWg8PcQAxdHDFwcMXBprP0HjpmnH3YJwvEAAAAASUVO RK5CYII=</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAG8AAAAeCAYAAAAiu0AEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJbSURBVGhD7ZeLrcMgDEWZKwMxD9Ow TIbhYTDUEPIh4PYh+UiRmobPjS82RDlhWcS8hRHzFkbMWxgxj5XdmU05pZTTFv+aiJjHhnXa m6Y4XEPEPCasVm4zO97xIOZxsBu3Ke20NxBKJlf2iXkM7Gbzhmlng2exfMqetwhgHi2ZXCVU zOPA6qJU1mbOQsxjAUrl5qJf8LmQfs/lY17YZHGDLS5fu7HJt4l7RzV71nkVEDymT9bfpQey DzXM3+/w/fAOiR+VdLLdaJZVc0cIFAgs3pysaDzRteLCoXlEDxe35v2Sw0ov9pIzrZ+sm73P vNPDx6V5QysYy8nIy9TBqu8vT3E4f/s5GFxlCbTfjI/AOUN6zgg6ffbaqLcus2EO/F8lfdin aV5uXNfxV9RjkouqbNAKFg3OfbAaJmXIswfGAeN6aj5VIhkTzUqaS/27/3Dcc58T85K+T+ad GHAT/FFmBMvCxzL+PoKBeGAcMKwHq0ERtpR5uVvUlNrAmBDrYtyrzGt7Uj3D01S7LWVe5oU5 8/2V1gS04TOvX0+Dpnl1xUvZRirFI/OgYfijfhbv71b+CIdg0RcDXXdB98E91wdjkWC8KJvd eloEI0hcYUHkcawzRL/VZK7CPByklSFx4NK88CKHFUKoRfWCmR0uOkjWSeamc531KyDGJWCM q+D36Okh908X1ZUyDq8wb/Qh3MdGTyCd8kDCMMG8d8Z3m5dX95sSIRz5unme/mOxcISWxauD VZvX5qWJpXr+jofmlftdzri8ib/crIUhOjJP+G+IeQsj5i2MmLcszv0BwCA2kHJBgXsAAAAA SUVORK5CYII=</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAAEAAAAAWCAYAAABwvpo0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFFSURBVFhH7VWJEYQgDKQuCqIeqqEZ isnlQ6N3Ajd6zwg746AmhOyyqIPBMQXQcVhMAWTIEL0D5+QKSd7+Ajl6cM0G1n4l1fbvIWZO QiQIDT7GAVLk5+SJRLUJIWVzcgwL6RQw5iOy6cNfCUCoO0B69OsWPyNH8C6gTH24VgBe/FyN qgBKLtAuHzmFcooDOF+PxHKvDtL5H3KA1JIzubsaC9QEkBjuLoWPxE5BHVKI7kgXd2Aexd4S oG7Pa9ASwNqfzvv2OCBRe/5fOkBC5blbAG6sYwcFn3TAGtsLkMgdes84LQDaxD7XmrsK1TU2 JMjWKyGat0zDvECBfgGOdmyraFMALnriO8LnUtcuRfY1TU55x7++Mo8vImo4edzIhR9xMjEp 0YdvOODbmALo2IUpwNACvPpA3QBvOeCOmALoOCwGFwDgAVsNd3n0x/xtAAAAAElFTkSuQmCC</item> <item item-id="10">iVBORw0KGgoAAAANSUhEUgAAAFAAAAARCAYAAABKFStkAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGsSURBVFhH7ZZrkgURDIWtqxdkPVZj MxZjEiIO3frBzPxyqtxqgiSfUNfErSVtgIvaABe1AS7qA0AfrTHReum+0syaBQUXD/JnzBFd kLFGOR4DrcaGNku9OnYX/3wFevsAJkR39EH+pThZAZdAFggg75sxb+uc4OwA+r0mAWY4z2D+ sQLpQI06ehMfzbGOflm1+o6PFFuA6eToFH25ChBEsYVaWamVCZxAGTvawKyHNWq7kFzBGeDB HQCQw3mAQb5sbxf/uk5zxu8Km/0BQDBIkimodBWKTTZTMPxNSptfvRvdOgzoVt0hYRvQ5VgR 2BPA8ZXlmPucyzc3yTMVDPFJa4pOCQKMxgbjpD74qnbeuf97+gYQr+9Z+jZizj0b6b8AeLXB GeB1ZcwC/F6BqSLUlteP/VAcQyOvXQIIjjmo8mbdALzaPL8vswBnxHtDsndvLeU1jIFsWrmY 10WOQ4D1xMu7BhUhgfEVaSoivQkyJut0jjiu/bJvJ/E/DVjj7xNt98S/L0kYu07EnAm43ghe CzaZnSVU1fnWozbARQHA/D7VMt16o7YCtz4qxh/G1iWVLOmlZAAAAABJRU5ErkJggg==</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAWCAYAAABXEBvcAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGqSURBVFhH7ZXRjcMgDEAzFwMxD9Pk 6zbJMBxgQ2zXhnCcqqriSZEaJzjmYegRN0tsgYtsgYtsgYugwDP644iHcrlwwSufxBWiK/W5 2CvvCi4e/sQ7oMSUsXocvIgUDNaBpxfCTg9JexneTp4UTrKI9CnyShNCa0/ve5wfk2vFH9AX mCkS+yv9VnI9bYJXDM7ukK6MlEfdXVbcYCwQ23gm6RDcghML3ZBS9JoBW2ASHx7ES5202/Nv ctyl3A8Ewir/q8AG5IazR1yG3SyF1jIv8BbAx8l4vRfS6pGBO3OiA3/0ySoT7W6dRdYFAuWZ cn6yuNqB+cF9PxQICetAceaUVeBbEd7Xxb4y34Hlm+2ZqEfQEwiNof0BkfiqwCrjjsmC4V6V bha+Sp4gmZQLqQqdbh1sIQg0/lwg3eP84t/gAkEwSYoMBZaP250zBMezb8ucuDvKhcHaEDSW 0eNkdzgfff1dupM8w7cfQgayj3GGAr+IPwksbvIKG9tnCzThW9j6B9wCTbjAenZKV1ugCj// Wue1wxoPdOXw/mYmO3Aj2QIX2QIX2QKXiPEXw35OkLx0TBoAAAAASUVORK5CYII=</item> <item item-id="12">iVBORw0KGgoAAAANSUhEUgAAAEAAAAAWCAYAAABwvpo0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFjSURBVFhH7VWBEYMgDHQuBmIepmEZ hqEhCRgQTmi1reLfcVpB8v9+6OInx2MAX6fFYwBdnDdq8ctCQ1t6+nU44xVyUN44flbAGZV4 qmIRzmXkrdc7ekQCyISfiUeyLByN0PCkRLlmNSoZMyjgfwywWpBvcMmMEWYwtgnYx7EGcITf 2aMkb/U24pEjrgPDdltApiTdU1vEtJyUACYaC8nRKBDIS0F1AwJYQGWf3IAotBAdExQSB3Od BkhBeeyOQq8Bzmioz3yUAWYr+hJAU/F3lwFUlO4DsbLwFuMJwC+S5hpcAulUe7vmeAOAVJVE 9YT+FOJQy4QKZLUp1gcZ0PpiFaEtcgG4aT1FXeD3szYr9kSRzC9rEexp5o2LhSYFHzLpC5rE HL09gMrpe2UMGgCx2+3/a2HIAKvP6P3fotuA0Hupt6Ev9U3aoMsA/OuLBwwOcUhdHOOH4M3w GMDXaTG5Ad6/AAKgY9MUspvrAAAAAElFTkSuQmCC</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAWCAYAAABXEBvcAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHOSURBVFhH7ZdRjsQgCIY9lwfyPJ6m T3uTHsZFsBZYtHXcmUwa/6RJpRXxE+iMS0tTWgAntQBOagGcVAG4peBccsbl406vfJP2mDzG 51MvvD365MJWRiS0GXNtO3FRLoREBm5BAdsCOe15+LjypsomEWQAy19VIDx2eD+U/Qm4LfsN 9QFmIcT+SX9UOZ66wT1F386QLgzwY1ZXy97QNcCSxiNOL1VKcOCgqzQUO2ZSGyCAjzfsGCfP 9nzP2h34vgGQTvlfAVaRb+o96mrQzVB4LOMATwBynrYfYwXtaBmlMgcy8MferAiQA3lP2c8D JOEzo38Ku5mB+cE5vgRIDo+JBKjGhKdwjvcY6gLZl/MRZvQ0noG4Zn2m4lHqAQRHkBjWB4jZ ZwESPG7TAdPYzABcwApwVnmDbFOdQ+oCFAfBxO33AfIal5dcQwKU2anU2xwu3s6cS5X5Ym3t s1QHXsV4JAS3Zdl2Vh0+pHDcY1KwZ+Xtm2ITxWKGYAOt3vQkvQQQueUTbpYPZPRl/3uGXgcI an0Bt/CO3vedmgKImQalzCs595M6hr50/EV6qgYAyv5XM682a/h9xvtjsT29DQ5m4JLWAjip BXBSC+CUUvoF30xHFIaOcHIAAAAASUVORK5CYII=</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAAEoAAAAlCAYAAADlcn/+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAH8SURBVGhD7ZiJlcMgDERdFwVRD9XQ jIthJa4MMnaIN86F5j0SYxKOj0Y4WYJqSApqUApqUApqUHOAWl0wiwluFddd+WCXJSxcrM/3 pgBVFs5w8Do3N1qDM32gGlGog7Z5QXl+TxYz3BDvZ8txAduxJgVFIIwjo93qkQt+TkitR/IW o0pBKai7OgIV65bOxnI9LSg+8kuSZiBYL/dY8PxEReTyTwOFi+jvLNsEF7E6UxcX7XORPgrU 6myFw0DqyVQUrYGgOAp2LPVkfa71MHdkeeeCw4hqPgPQLpAA1fr05t8HtNn1k+J+MKK8jX22 1stWTQ2vsp7YERr4FKgqmTShjFBsFk59ufQdmaPSvAf7/IduoBgMDtYJ/deJFt9EE1kuV7bJ nPNa3hSZ00jdjXqwxH7iKymeHk8FdT6ivG3HjYld9FEfECucNN5VgdVGFFrvTRHFG1YXS3Ow dUJJTUQ1c0wWvB4UCZ9JUkFQmOgPTpc4+XMT3kbOdpyt9d79HNXsVhvWaUGvj7Z3agxUvJa2 PIiqH1QfVLZPCmmC1c1f3wrqXC7bj6hG4lmFwXWO4l/WICiSjLJ8exaNg/oVYdqo13Ci73hy MlAFiIBTHCJzMUgjCsHIOkhBKagdKagRwQ91Y4OtP9o5R2Fb51+I/K66IwU1KAU1KAU1pBD+ AE0yM1Tq8J52AAAAAElFTkSuQmCC</item> <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAADAAAAAWCAYAAACG9x+sAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAENSURBVFhH7ZSBDYQgDEWZi4E6D9O4 DMP0oFJsOati9DwTXmIiavH/X8DhyxkGnmYYeJph4GkaAxOCc+jqBelJJzGgT7XQXcj0aRAG cqHHEHkI5wxUIgYvhYjLdNevYTGQP5YTU5KimCbLAvIPkjgISeLF7GlYoRqIwdvFdM/JlGT9 noH+DmxqMNAdkO37MiAnurEDlgYDtYkpAZUWF3OaYnIL+un5TWxryMgNPmtRBhRrqdclsZ3K ZSgN8/85mAlmHR0GGE7hByakBrpvl1fqVhlq6KVIO41BrR2dxi20Glb3h2WgpXy8eGjO659Q Or+sIToJDxuAMKlj8db0LdqupEfHDPwxw8DTvNwA4ge8RkoHFKNaCwAAAABJRU5ErkJg gg==</item> <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAADIAAAAWCAYAAACCAs+RAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEKSURBVFhH7ZWNDYQgDIWZi4GYh2lc hmF6/Ai2vSKKmBDDS0hOPeR9fW1U8BEtkNm0QGbTAplNDGQDoxSosoy/0ylnQft3mO4X3POC QMJGDdblS/MMpMiB1dgQWlXK+14OkPBn/OJY0bCZV+ZYupw0WFUvdRUQZ/Xp5s0w47FKHqjZ O/cTaXmRRBPBcbZAgvieUWp4kUSGPVaCVK0B4p+GthNbLB7eP+xnXvK56X4CJiBEVxLZ20YE GSniJZ2ZCxR8BciHICeJjBT2En/ztvPp7ZdU8SGNVAJJ8b8wI1jcizg/NRBBHCT38Otp/Gmf j6O3QGl7BaT+Hekd5McSOuZyIrNrgcymj4AA/AA5VN03vPnDQwAAAABJRU5ErkJggg==</item> <item item-id="17">iVBORw0KGgoAAAANSUhEUgAAADcAAAAWCAYAAABkKwTVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEhSURBVFhH7ZSNDYQgDIWZi4GYh2lc hmE4WrC2QLnT87xg/BISQX7eawsm3pjH3Kw85mblMTcrlbklOmOioebSyIkEH23a1x3edJ8+ Zg4W2ujD2nXnmyNC9JaLZE11vl/fZg4m840xyrBYEdIREbwdiPsSVZ8OmWuEicXZIP3GqMny wvWK6Zb9mRvr6yMzx9M+Mlf6liZnfp45VV8f8aBQ9Kn1zeV57KDCW3Mo6PiDousD+GOTtQlz gk7maFNF3U8zVzOorMWBzpTp3O2gLYbysD6NtPzNHH7XJZu0lK4Ef66Zgg3ayNT3DbjMXK2v ex81cw3S3FrftY9LMyco922LPlbXB+bkfaOMYbRgrESM+uyQK2mqbfSg3IDH3Kzc2FyML2vG dRSbK2PkAAAAAElFTkSuQmCC</item> <item item-id="18">iVBORw0KGgoAAAANSUhEUgAAADcAAAAWCAYAAABkKwTVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE6SURBVFhH7ZSNDYQgDIWdi4GYh2lc hmG4tkptteXUcJdo+JJLDpH6Xn+YyosZ5p7KMPdUhrmnsjM3lzhNZeJfhCcdyakEiBtvB72m T5jDg6GkXJexvzkmlxSkSPFznV/Xt5nDl2VgyjIedoQoEfIdIaAnrj4fNpdTaBxexPM2ZW1b 5xTZ0BzBYEhwosX1yrX12ejKyay3zK3rYJXoxEdv0dRnoy4Uyo7KpG1uec9pP/yoVzkSdP9C 8fUh8rJZtClzCqNyHLSlDjJsVrQ3hr4qi0YD9i6Zo8PYHu5MQfa+zlsnpD76v29ZqPK61NBm rRQGOGbGqs4cazJ+zF6fOY+euQPaHFUIAsvuxHngNQSP/2hNZp23LfvUXSfM6XnjilG28FmA C2Tbr8/+6g05dFvrQnkBw9xTebG5Uj6jBm2Y8kfHPwAAAABJRU5ErkJggg==</item> <item item-id="19">iVBORw0KGgoAAAANSUhEUgAAADgAAAAWCAYAAACVIF9YAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE0SURBVFhH7ZSJDYQgEEWpi4Koh2ps hmLY4Z6ZBUFXNsHwEhJFgf/nQNiXsw2uzja4Otvg6jCDh1VCWJGHgpmHMdpK2Fvd3viaRmTQ LZRWm/Sq5hjMGKslFopG0/11jcWg+xlv7CPtFvOIlSHzSQ4sGIl4kqbGNtmg0fJ08aGYIR89 MBPXGK2yKfevkBosn3E9gz2NNWgGceR7Bh18TWLg4Ft0NNYgl4yPEIlmxyB8deX7Ne8ObmXQ i7p/yZxpTHrCfAgEMUgYyWAss1pmv/+dANEYtKTA+TaBbz8arGUQ5rr99xBYo3/m5QvZjq8U /5GWQM1gKBfag4cqQZkK11jtz5bBCtxg6gU+l3sLDlAsIHOJ/Vdq1N/kAwZx49KBL4pQ83jQ zP6FSuUNZ3BVtsHVeblBaz8vyb5cXWfOdwAAAABJRU5ErkJggg==</item> <item item-id="20">iVBORw0KGgoAAAANSUhEUgAAADYAAAAWCAYAAACL6W/rAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE5SURBVFhH7ZWNDYQgDIWdi4E6D9O4 DMNwbRVo0foXvATDl5icKPDea+Wm+FGGsd4YxnpjGOuNytgcYZrilC/AkUYEHx2uCY8XvKdN GKOJLvqQbqGtsUyI3kmB4jJd39dWjNHLcmFOWEzmxUgAbYDiwKNEQgoVm7fkTNsO2Vjwzp7M v5Po1YhbjAUP2cwMZdzmfsUOtRnoisnEN8bkQrJiggsbPuJIm4E6PDgZlWKanFI+aTXa0KoY i3l+eNjaCHmwLBqVMcVelXILGWlhsu7QeSOUtkVXCow/B3x2w1gipVM/w/HT76sRUhv/rtsU q7veavihqA7eg6qETomYYS+EF6i17X5/lrGa9eXiTf+vUP9nk5sQ3mbtoNKLfDJfNgZ+Vse0 7ml5yQD+RF1FHLpmrEOGsd74qLEYfw4pKyzJPUfNAAAAAElFTkSuQmCC</item> <item item-id="21">iVBORw0KGgoAAAANSUhEUgAAACAAAAARCAYAAAC8XK78AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADpSURBVEhL7ZLbDcMgDEWZywMxj6dh GYZx/eSVJu1HI/qRKyHFwTbnGhJt1gPwfwAlJ0rJVi6VMCNV26Gs/zT4mSYAPRziwGN8hzpA yewaCKfTxgncowZQEa7dViRwwH5NmS+GpfAcx/1oruVAOGr1dpWR3wCO4x4SAbxhTIgnA/N7 KBi1shd50mM5dIJm0/ItMle+GRpcT98iaRDAvIdROLiPpaBrvcfLG1hfuZA71NpgmEJ3z9K8 xYjoI4A3nKdwBcB6C2192t1zzncTcPUH5suqHY7X9E7k/5nbk3o1NMRWsU8PwGYAohd634Jx I16twwAAAABJRU5ErkJggg==</item> <item item-id="22">iVBORw0KGgoAAAANSUhEUgAAAGMAAAAWCAYAAADU1CLnAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHISURBVGhD7ZbRsYQgDEWti4Kox2ps xmLYgEETCAgKLh+cGd6o43ojh+BbzGQYpoyBmDIGYsoYiCnjn+yrUctilkWZdZ8y/shmNEo4 pOieMnaz6hX+TkQ2mHy94QnMlYIOwTPE2rJt44eGK0+pkdEy9wnv8q/fyUNiXxWRYd3AvXgM kLZxp2DuExmtc2t5ny8JoEPCylBnqI2Fe/H4KIKY8vvYecUVaR9uC09NNLZbUIwbKiEmmRuu 1mvQl+Bk8mkG5e69O5GVEbYNK8od+9WDL5ya3JOyzsjmArZINvl+UaQmt5K7/BIi8cEQYYsA 5xTP8CVJu0YyaIElE10mI5sLRDIs4W/ecJNfgiSADhmyPdpMWNzsTrdK2IN8UWiuagIKZQDp 3IQM9yK57aqOXL7POq43WgAeJ/56bkob3kiL8kLCYhtT0hlYSysZDJZ/5PjdxO3rHd+9QobH r5RORRXJaNsZDJrvjsMtrHF3EGQZLpR0AZxrVgFfMc0Ic+GSJOPYVjpMSpgvfk++lhESFUE+ Pp0JZfj9vUtXROAucO1TBf9FPqdYhl438s3o0BUR9MPJR/9sgtCtvSiTMfmEKWMgpoyBmDKG wZgfBhSLwe8LXB8AAAAASUVORK5CYII=</item> <item item-id="23">iVBORw0KGgoAAAANSUhEUgAAAHIAAAAWCAYAAAAcuMgxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAH4SURBVGhD7ZYNkoMgDEY9lwfiPJ7G y3gYNgmRJhiULrDbMrwZdqrl5zMP7C5+MgRT5CBMkYMwRQ7CFPmtHJtfl8Uvy+q3Y4r8Unbv WGAQ6v5T5OE3t8HfydvsIM7tfAF1XOFk8hWDpvG4ns3BnV68I/Ivc5XSJtNrvN0sjm0VItEr 9OXPgDiudAnWP0LkX+cqoV0mS55sFihyjYvj8tCXP4cwwvL57t0p9HUBbHIyEoNHnL4TD6mQ fZK2ZqRmc2Xmkn2ZdAdrbjLlxlTXqo5bkZeHjeEC2FmFoV0IE/CYY3NRHk2cExMpO5H3uYKE +DVn0t1hvMjZgtpaSej+TTNRG4k3Il/xYuIkPYVD0jEnyVibMpH3uRKRfJ3mvBS+loa1suTJ ZiNe7bg2HBrVM+7e2B7C0YTGfZ487a0pFAnkc2mRod+1WM1FAs1q9Vto8+C64XlzyrnjUzj7 BODuaxY4ReUK68diZmT1EKmoqVUjKkVauwzuPZ7GCgyR5AhfXZl1P0Nk4xOZYIukYOdODwGt cNarbHevB2rOJZd+tdoF7CyyolYtyZ/IhDRcCHa9F+sFD+h6pY5okZCSdn3qrKtIg5JataZA ZChO2HG6ydpgeP19v90X0L+PsUj036FYP15D6y6zrFY9KD6Rk89mihyEKXIQpsgh8P4HQvMc FJjGef8AAAAASUVORK5CYII=</item> <item item-id="24">iVBORw0KGgoAAAANSUhEUgAAAG4AAAAWCAYAAAAhKqlXAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHxSURBVGhD7ZcNDoMgDIU9FwfiPJzG y3gY1paC5c9tApskfEmTgQjPvta4zS6mZBk3Kcu4SVnGTcoybhYOY9W22W1T1hzLuEnYrWbD nIF6GTcFOxildx4c1ijoPB4x6Cy2ow8NM//kaXqQNk3nfeUocRgljEMfYS3/BkQ70hBc/mui nqYHaddUMktGCTROhUPxWFjLv50I4ap/l4YZEombo3BoV22gaRFu3XCNJhPkmiTkmZKqnspe hX3SSo3pqYmp5qiNS+Oyh5Si6Lc3hR9YOVGH0cEs2pDnW7nUwxrCZU5YvBzuvzLhBndzJAnF UYkiUcHw3jzihxcdk4kSlYU3l6opW9fAlR4Wf+bQjWVVIlmiW+mQo5JZMsqIVzSeAwURrQxV GiJOVP1VyPCmV0u+4Z0e74lbl2vrbhzQnKO7UGGc+9cs5oVJBZEwKTYBKjKt+m5EeqQWiIo5 I4yLuJOjTnxhnMd/DqfXYL5jt2UUjCNP8PVVOff3xnlqOepH2TgSJCoHxjrqJJE4ZtfjRGZ6 kvPxo6jU6UONu5GjntQ7TkIi5bs7/j+DCQoCswcYQZoUV+FpkoZ3nORNjnrzsXHa7JQsV2Fx tfs5F+PEOpxp/rzQafTFJ84PY4hfmHeRoxF8ZtzicSzjJmUZNynLuCmx9gWC6gCVnlwaxQAA AABJRU5ErkJggg==</item> <item item-id="25">iVBORw0KGgoAAAANSUhEUgAAAHEAAAAWCAYAAAD3j3MyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIBSURBVGhD7ZcLsoMgDEVdlwtiPa7G zbgYmoSIAQN+gLY6nJl0CqJcchPf62A7j6eb+AK6iS+gm/gCuolPZJnsOAx2GEY7Ld3EBzJb w+Y5M82vTFzsZCb47FxmBtPMzAPI4wgdySMGXcY2XcPATAuumPgtTVeoo2m7Xw+NZRqFiegp rOXvgGhTGoLjPzfxm5rOUk+TZpwMDTRx9Jvj9rCWvzsxwuH1fTuvLRtvItcGa8QBAxLPwRgT hhZpcsSVG5LRlLonqSnuzi1k0kvJmrg7rBdHAzqsv0zVt42XyXjj6KEpUzzwvBOdWKIJofsx kXKykLwmd/7ANNalaaD5TKgERcRFyCPeTHRRLmE8VissOpTOORNraNolvZSsJrys5CW+h9GM k6EjXue4NzRMsNJXrg89YW7dXhTBD9YubZw0ESjVVN1EIK0pYSIlPlH0d6DCwX3deVN288Iw YV50LilQddXExtzQ1MLEgEBTykSntVVeLplIucBXQ7LToOIOu7CAG5r+w8TKnRihm0jC1ipH gSJhgC4U57fDVOempqYm7jTpOtzrN/HnpwLpTgwIE7ZWlswNCvVjOJxppdhzrAlp3okRsYnO wHZdiJww0SXLVZsQQ/9x4Rz8bhHX17m2Hh5roik/hmhupCsiv5+I1luf7MTOP9NNfAHdxBfQ TXw81n4AVa/LQcgjCusAAAAASUVORK5CYII=</item> <item item-id="26">iVBORw0KGgoAAAANSUhEUgAAAUIAAAAvCAYAAACWsMOsAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAknSURBVHhe7Z3bleQoDIY7gX3eFCaG zmKTcB6dQUVTT5NJBVMrIXBxERiDwNDmO4cz7UthSUi/weXp/novFovFzVlCuBic53v7+np/ eW176sMz8NzA5g08WbjQ2HJj+dzCMf9qOOhLCBeDA8Uyleq5qIKe2P4eYIy+Hy+9FaNtHiwh XAzOvEL4enzPNXO9EIxVWgynFMLX+/H9mdL+jmT4jT7VEF/WxCn8zIzBfj3e36zdFAOTR3Y7 nhX1pq+tz+37He+2bR40nBGScMyYw3F+o09CPLeDuHxuJOfiN6MQoq/pZ4LBclA9R4T4DOhr N1vx5vH9gOhxLCEciCWEPLlxoRnGufhNKIRQ0NvBjIl9LqYEJjUruoaetsZnhZcIISWsmQaX feM1imhI+GIYSQgl/YqAd2hM9if+S9fZfTfHXhST3Q5zgpk1YNvv8mTz9rQ+E50BGNoWQAte j+1QIPgvCCg+4f5r6Wor5A3fZ9s8YIQQHbRUWSX0rEIo5YthJHGX9IuDEt0WK3ygTdcxx4wN tL3HRYmkscc+5n1uF1M8FgM+c33AT4A5cjwWvLhQfs0hhK1shfFmb45t8yAUQiwq+4JOUgOq 6EwyQzA2bbQ6zxaJY9FQhdUyyaO+mIIMmzOwI/qERP0i+wK/GHsCOwNfAbXPFiqKmzrHOWbt B+LfALrnhdsccE76hMHIszc9y/pbPo4N6Gsr5jB3I2mbB4EQ8gWiDXOSXxdddGmTFg11nUjA pEj6AgQDbEQ+atP1PiFpvzwbtU/u6Zl2OuONYPLrbecYFYXpLrBvxz0v3OZoWwDiQFyOng8i nLjQuLj1tbteM46V9LaVf07YNg/4GaGd/HaROQWHQADMjDCAEQ3oOwhOQ+eSvgDsnc7/jMMA PiFJv3wbaZtN5CM7Vb9egpsbnzpmbPAEzTlG2yQONxBCiFGQUwx+7hmh+OwTHMdKetvKP2Pt LYSAcfTT3CKLC4XBnOc3W0TzA1ND3JdwgAkqznD/OD4hR2NkTKDzwvHKslMLYewaap8WRoyl 2jZ9KrHW+/Tn9nO0PZ9tN4Yu8wlh2lzKr09sPs39nOA4FnONrXheeNoFQuigisFOVFsQUgl8 TNtBZPB84YWQ/Av359HdJ8Txyx4faBFbsuxU/R7d9Frz24QwF8FxbI6srXheeNpwQmgwd4ty Mew+iFlCSH7NLoTKBHsp65Fl5xLC8wgLocg4NkfWVjwvPO1KIVSFYJQeCg223QfBVgAK6DqI vi+wixNCZVNF8XdPzMAvd0x4sc+x09zoPvG6hiWESPk49kDWVjwvPO1KIfQJZghYLBOJhoc/ YMoeKHxuEHO5PjH9mxMJmm/S9Xbm8vP+8+dH/zwBP3/eMubONI6ytv797x8mhpAH/25wpTac FsLt8VRO00whdDYbnELrPvoPJA3Ufn2rVZlyqU8IJaSxYRf03S5907rczjPAWA1vo4XIjHCm cZS3FQUzPAXyILLkluCcEC4W3ckTQpzdy4tB5IaZKkgRIbw3XYRwf6REQr2EcDE4OUKIqxR8 rNHiWaa/7NMzoJhNSwiraS+EeIPTM1UliDBbpQOLxagcC+Hr8YCzMLnPPNoAQYv+ZwAbXwgB LJ5YUQ4vhLl+X0dzIcRl+n4BfWPTW4vFoBwJISTyg46r5XF2sZQLYXIZvoSwmjNCGDy28BoH 9m+PnxpP/fNiMSgHQgizM62D6uf89x7PCaFTYCl7lhBW00MI7TdDAiHkOurZeJhENC2Rcez5 FzWe+f2Sbjv6QTaFIS2EKom9fuKvPyViHp1J0mdsE+ia+nmkYytwIITstQUbT4nfV9mKIW27 ND4UwsViPFJC+IRlsVsaatmTVTAgDoVL40D8bNaMsJrWM0Ico89kQ98k9NZiMShxIYz+lhIo gGMxKhdCmhFGluBLCKtpLoQqR6xvjaHfJYSLweGEUN/FVbLbr8zY+6ElZ4Y5gkCiuvdntajY LSGspvXSWKFn9es9wsUkcEI4MMML4fh0EUKPJYSLwVlCeDfmF8J9uum3K397SSWz+CRqJyQd 21fdL6QoYwnh3RhHCKsGk57T2J/P+fOGzRBJzMF8iiJrJ34p4AgfxFIJYn1AT3Cj3z4zm4g2 sneQ3z4TFtM5aj8viZQtI/mUQtbOQAgRJYa5Ly1LcJcZ4Sw5Zmhnb3RG2DA4nhCSc/tSqOjC boCumzlJ+GIYxacjZO1khVAvm/stke8ghJK52oO29g4ghAglevk1vSB1nT341PpiGMmnFLJ2 8kJI11hCGKF4RiiVq71oZ++4QqiWQ6awoBDMe0j6Ab1rHxWK2RfMSmJ9NcH2hX7+iMSnOUV9 yqfMPrsRs5P2B3baTjJ+p2eEvf4IOVyv+LMXICKEo+UVh22vRqi2xxRCVSBmZqEL6uhFVasY HU73VUs4WGVfACR8Asr6bEHKTu+YtjFlIieEStS8MUz1SefXxKJtAYgDMSgTK6lc7UWtTsTh H+m0zYNMIfTe3k8qPVOM2AfuON1XLRnJhagEM4PIkfAJKOuzBSk7/WO0nSpa3y8jap99eX3e akYI8Xb/wFkuUrnai1qdiPPcOP/a5gEjhDQAnzsPJXdW8FUw9Ge9Rj6c6EsI1xfaDoufBjXc Dxz6VNBnCzJjb2x2Z3Y+ZHu8L0Nen7cSwgp7q3O1M669UrWN/XDvvrbNA1YIQ4yT2Epe0LWR 7Os8fHKRTaXJ1aJPeey4QxNJqrw+7yWEGBOZvJ4jr2zsfCiNAYw3u6QeQggNdDeSETDJvvJp cZdt0ac8lKQql3B5JfJsNq/Pewkh+lv32pJhjrziqKhtyCPet7Z5cCyEwTMPK/nPItlXIVxy pZeJx7ToUx431nyRnSWvz7sJYZjnZcyRVxqh2uafDyIDCKHYH3WX7KsQP7kosepEoUWf8viJ ibGvvQnl9Xk7IVRxqV/pzJFXGpHaTo112zzInBEK/VF3yb5OQ0Vqrmu3chta9NkCEixj215I 6htI3FdyM8rsc9+GVhSUtgXQDPS72O5Z8spCoLbjs0HkaiFcLC5lUiEEcAY3qen9iT4bNCwh XNyaeYUQweXtEsMDsmbPSwgXtwYKwFoali67rgTF8IpXxcZHjy0zmBQzry0hXCwWi1a83/8D TXB6exWiIkoAAAAASUVORK5CYII=</item> <item item-id="27">iVBORw0KGgoAAAANSUhEUgAAAbYAAAAvCAYAAACPF+9PAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAqhSURBVHhe7ZzbteMqDIZ3A+f5tDA1 pIvThPvYHaSaPE0nKSZHQuBwN3eDrW8t1mxfgiUQ+gEn8/NhGIZhmAvBwsYwzEBen+3n5/Nj le0lL6/AawObN/CEMaG+9fXla3P7/Kdjp7OwMQwzEEh+S6mYiUjQC9s/Amyjx/Mtj0L0jQMW NoZhBrKusL2fj7VWlieCbRUXtyWF7f15Pr5LzmsGwxV9vEO/6dzN3xjhbaQwhZ9ZsaHfz8/D aze1gYohvRyvWkYz1tbX9viEq+0bBx1XbJQ0VozhdK7o4x36Tedu/iby2g7a5DspyGu7FYUN fY2/U3O238R7OGifCX0dZitOBh5PaD0fLGwTc0Uf75bo7+ZvCqltQiuAvLZbUNggQW8HKxrv eyUhGLFVyzmMtDW8ajtF2Chg1TK17BtAsySMFr6EuKKPMyX6nn2nuEOcSnAGjcnrhf/Sc3a/ 1bU3tcduh7pBzeqx7LNwsnl7aZ8JztAV8Jk5giuZ93M7TPj+L0xQ+7jnz2WorRA3/jr7xoFH 2NBBTWVFQK8qbK18CXFFH2dK9D37TnGHOEXwGab44At+eo66pmyg471NhOgpe/Rr1ud2ccRr IeAz5wdXBhgfx33hFwuKrTWErZet0N/eyU7fOHCFDQeV/kAjqAEx6FQwQ2Ns0mhxn54gjhOG GFg9g7zUF2n795o4meljoI7WBH1UScctRvDO2G9IrV+X6EP9+VoxjE31ExDndD+oLcU9xjXt PBD+hpt5n3vsA+6J3zAZafbGV0F/y/uxA2NtxXu1nLvTNw4cYXOS1j7I1N/KEelccOuBrods p9mi3WBtKfVF33rAICjxMb2OOqI+Ak4QKzEPtvv5/YbU+nWdPrTsk36q4ywbjZhHMJnJY+Ma JbnvMyz7dsz73GMffRNac6Bdjt6vIU48AjRWzByzu17Tj5WMttX/nq1vHPhXbHrw64PMGHAI NMC+yrHxJAyoWz8OD5hGtPDFuU/n2EdBtI5KYj4CviB2PmMwQb8hLf1aug9t++jY8R05slFc 1+rC56qkJK4pGyyBMq7RMSX7GwgbtJG3rS3seCSh0M817MdKRtuqC+GX0cIGKEe/xRxk4aSo UPfZxWyAEQmy2hfsOO+MJM1HQbCONoR9dIOYoATknp+n35Bmfi3dh2Sjam66LxCzRzbi9cgz xDn5eWxfcaweLMRXnpOf2++R9nyPPe23s56wxc2lmPu2zbeYn2vYj8WcYyt+3m3DvnHgFTYD MRj0QNWTQSyAjxEN1tE5hxJfEmdsUVrUkYrlo18AyO9Sm4b3G1Lj19J9qMcolFi7H9ko6j2Y yHXnasKWSsN+7E5bWxcRNoVS/4AgJHC+sClCvsD56plTizoySBIA8rd08MwrbD6/Vu9DSjKi uSGJhN9nJNgo6mVhy6KxsDXpx+60tXU+YRMDQSk3DDQ4Nl+kag1QwNAEWeDLa/sm0lJa1JGM 7SOc8gmAaPeKBHfOhKTMr/X70IxLv6Cn2AiJxGrDc2BhQ8r7cQRtbZ1P2GzEoNMTBw6WhRKk zoEvRmfAvSnfjLJpUUctdlBS8vcHaiqn9pskxa9r9KE94SKB0pv/fBtz+P38+fMr/16A3z+f Nuau1I9tbf373z+eNoQ4+HeDJ/UhW9i250s4TTM/09kscIkr6zglSUZ8waS52yZKvni3qKMO CkbTBipVzX12vyX6dY0+pASjnr+L9t4Hj89Du67OjbUxF+i/U+KmkCYrtpX6sb2thgjuQBx0 3HLNEzaGYZgq0oRNTCqaC2BgUhRLsE2E7d4METZYqNAWPoksCxvDMANJETbcScGt5R7vm+xt NrlCCdnEwlZNf2HDCYtcNQqBg9UlXVgFCMLgD8IZhpmfY2F7P59wFyarnG3z1NxgCxuAyTCU ZKcXtvlzYndhw23S/QFyoiKPFoGFjWHW5kjYYIw/6brYjkxOfqm5gRKfbkJ025OFrZocYXO2 ia3iA+vX+0/0p/x7EVjYGGZtDoQNVk9S18Tf6b+7yxM2I2HG7GFhq2aEsOnfhnaEzVfRyOLH E4iqRGZz3vsnKH4iPkZGlff+k4qf9f3yFT/X9LWm7MgX+9QMcWETScmqR09aJiW5gT6jm0DP lO/zDFuBA2HzPrth8VPi91m2YpP23Yo8FLb5gQ7lFRvDLExM2F6fpyViYpspKQGm5gZX2Bwx 0+EVWzW9V2zYR9/JoxR9ebQILGwMszZhYQv+L/CQ0I7FpVzYaMUW2PJkYaumu7CJGNG+FQn1 srAxDDMQn7CR2FDy0r/ir5+HEl25peQGEsm9Pq0ExYuFrZreW5ECuerm37ExDHMCPmGbmOmF bX6GCJsFCxvDMANhYbsb6wvbvhy0ywz/Y3UFV/VLwf7NR1ObIYl464p947AXLGx3Yx5hq+pM 2hfXP+9/KXwC7FcE9m8+2tqMX5IwhAzaVQhcfeNmcKP/3b9J3A6kk72T/O/+7mDKo/bzvWC/ 4rB/89HWZkfYECFuqT+CbsFdVmyrxVs/e4Mrto6NYwkbObdvVRQ92GygOWbF7Ncx7N98tLXZ K2xym3LcluQdhK1l3I6gr70TCBtCgV7+TKuRhs4GY7Bfcdi/+Whrs1/Y6BksbAGKV2yt4nYU /eydV9jEdoUaWDAQ1O8m5Atu0z4aKOqcM8sM1dWdO/hFf5MdZjESV5Z/iXV24+r+xQjZTOcd m3WHPW0QX7H9Pa7TeG6pyMLzjDonp4mwzRxjCt1eSaOcNqewiQGiglgG9tEPJbXBaJBdV0tu 4hdQ9iWBiH9AWZ0tuLp/MWI2W9ekvTFzfcKGSecrUvE69ckc1lUW430TWnOgDew2S6NV3I6i Nj+GcRYBgr5xkChs+leMwcmocnsGI9aBJ7LraslN/AJ8CYwGkQpUHxH/gLI6W3B1/2LEbLav 0bHjg4btI4mafi6jTifmU+mb0JoDfm5FAdAqbkdRmx/DvDaff33jwCNs1AHfmQQFd1Lji8aQ n7UK+ZBRVwfu4Rcdu8mIAjecpL4+6UVWmV9nQ67un5fEmFP2mysvG/IjXJcio0607w4rtgp7 q+N2MKa9rXIa1uObAPWNA6+wuSgnsZTM0nRa1lXLNf3yDyCyr3QA9aizlKv7l4Yeb1CaJImM OmGlUdYuqwkbtkmb8bx2jJW2AfS3dwI0hbApaHbRJnG3rKuWa/nlH0BkV+kA6lFnKVf3Lw1K OiI34HZWk3e6qXVCuxQ/Dz67lLBBq3jfEeWzXowpyMainBacAPWNg2Nhe9t7zFrw59Kyrlqu 6hfgG0DxrapjetRZytX9S8OMMX/SzCWtztdWM2lbT9jc8V3GUjHWKKf5368hEwjb99sxCKp3 YUe0rKuWq/oF2AOIBk9d4utRZylX9y8NO9FgzNVOpo7rxHbZj53klwLUWWfkCWC71O/ALBVj TXJarK/7xkHiiu0lAh47AUuxPS3rquWSflEiUjbopdyeHnWWcnX/UiEBUnbuiVF8ww7PlUyq jut8aNfVufzn9E1o3cB2KLZ7wRhrkNPCqzWkbxxkvmNjGIapYVFhA4zVKhMn+G5NwcLGMMxl WFfYENxOZHE7IGl1y8LGMMxlgISmbcWVbnOdCYrbHN/mng3Zt57OpDazCgsbwzAMw6Tw+fwP zCy2pvRGY+0AAAAASUVORK5CYII=</item> <item item-id="28">iVBORw0KGgoAAAANSUhEUgAAAOwAAACdCAYAAAC3rZRwAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAm1SURBVHhe7d3hdaM6EIbhNHD72Brc xTbhPrYDV8Ov7STF+GqEZEYSAglEshO/zzk+JzZYsoGPEdgxH08AZmwHdro/Pz7uzyncHWt6 3j8+nvdrGgd+pGpgp/vH8+ML0iT93B6f4R6ALauB/XzcvrTySX+EFthXBvbz8bx9wzh1ut+e ZBbYlgX28/m4XXXMukN2FLeHewUAatLAutDcv7HMUWWBbUlgPx/3jsDMZ3k/XrcBlXm6cywL bFCB7RkOS1hVNRz28Y9rl2ExUKUC68LSerJJAqrnlePPIYH9xmNowIAlsB3Hr/IxzDWBlX0B x7FAzRLYnuNHPwRWwRoY2L7jaOC9JIHt+fjVV9nKSadkWucx6Vd/aQOw5HBgE0mFlRNSKrzT RGCBQS4IrDQ1V9cjH9EQWKDufGB9WMth8Vxp88f2EVigbgnsn1/PX3/C36dMz4eqrL1nff/+ /m/Q6wB+njFD4kSsrOHW2SgVFqi7ILDnEFigjsAChhBYwBACCxhCYAFDCCxgCIEFDCGwgCEE FjCEwAKGEFjAEAILGEJgAUMILGAIgQUMIbCAIScCm/2jeudPwdQQWKDuYGAlrFdcqoPAAluO BVYCqmfe+iFxP639d50ILFB3KLASqrbAxmEzgQVGOF5hWy/VQYUFhjl80slX2epJJ7kKnZ5G YIERDgc2kVVY/8v/sbG8Gu8gsEDdBYHNziAzJAaGOR9YH8g49HWhDfdfbRFYYJgxFTYRjl/j ZSYJLDDMBYF1dNW93cLflbPIGQIL1F0T2BMILFBHYAFDCCxgCIEFDCGwgCEEFjCEwAKGEFjA EAILGEJgAUMILGAIgQUMIbCAIQQWMITAAoYQWMCQA4G95hIdEYEF6joDe90lOiICC9T1BVYC qmfyPwWzHVgJYPKcHQQWqOsKbBG+ncD6+WXYTGCBIforbPGbw1RY4Kt0n3R6Vc38pFP8OdOH hHr5XWICC4zTHdjEq8KqM8dZIwQWGGdQYOPf5Q+GE1hgnOOB9QFVw2ICC1zuXIXVCGxieoRL lQCHfT4fjzQMgwKrrwerzhq7NufH3K2x8Z8QWEYJGMZl6Kaq4LgKO4j9jX1ye0VqK8b5dKO1 GAkCO9jn414cFgCnuMPNe9io3iSwesie3ubhxvyxVHe/xXG79KMOCYAh3PYZLt/6VhV2useA BmrP1S9+9qwDuyxYYJylELx3YM/KK6xbhj1nxIFWsu3KpmUrsD4gB4auQRLY6bEETQfv9Xft 21v58LolsKotfzs7bB7dXnRVu2t+al9ifH82A/tSPybdqnDyppd5Y9Diws1CGheyhFCF0rcR +8imyWsv+5c2s1CfWoGj24uuanfNT+1LXNOfbFtSbN53SLxbYedJ6f1sZWTzxoWakBWm35B/ jlqBfoXGHYbbEd13joGr7clrizub9NZ0GFBtt7JzXFlJ6zusFaf60vOodVFzenmN6i+Q6a+2 9Pre7sd4YCsrVm4bT04Cq/mFGhaS/lsU09SQPJt3bYMtHvPPCSsweX54TzsnrTbbc4r3GDeQ jeUittudX9trcmgznd09v6EfcaYv/bGZH+1cvLyG9uf/Xl/fe/1Iu4YDe0yxciK9IJOFmt/P QpXPKys7f/F+A8jb0ytw2Xh8+y0Vttaes/oe8+es2Ww3C1G4n/dTbKw1A/ryiuW3YuTyOttf 8fzK+l7pR16nLJM3Oek0r3S/5yyqgJp2c8vgNZ8sMD1NhzQ+5vZ6r3nDtJUX5zfk+Bw9/6v9 lY3DC8O2rM16e/OKLTfuuZ3l8d5259cZZ5/nK1+zf7x4/9f05cnyTirRVcsrON3f3voOin7m 1yndvFWFvZ5bgdmCLvjALxvMshL1ik1t/iNB1t76Bjj3kT/e3q5+je5WWUF+Q61MG92X57bZ 8r1et7xG9Je+P/24UvQjz5nnJbBDLQu2qliBUdhbr6zczeXRtAHmFaO3XTW/205qx3Hrgb2m L/+eimlXLS8xpr/F2voWa/0sjxHYwTa/S+xXntq7uvvpN60aNgAtb889tLYB+iDtDcO0ot30 da1v5KGf3pV3sK/pnm/oDU4sryH9uft763u1H/U8Ajtcx3/r+BWqNwzZ63YEa0W+Ac4b3/pG 3y7fsObqkK+nQ4Et7PeVbCNFCPq0LK9h/e2s71o//LfOxZr/Y8evFBdwt4HOe+EyBO3mDTu2 o2/nluccoNjWa0OW4ap/LGxwr/vudrjD/b5uanp8rGlZF9qWlwQ6nX5ih7qxvuv9pAXgQGDz N3pgqLDhJwTWb3h7H88Au2QHluarM7BpCZ/3fAQW+Cp9gZWA6pn8mLwWWD28aR9GEFigriuw EqbWwPZ+pSsisEBdf4XV1XKzwiqt8zkEFqjrPunkq+zaSScfShdmV1nl8aQtmUaFBU7rDmzi VTnVmeO1RlzbrZ8DEligblBg499rJ5dcmBurqyCwQN3xwPqAqmFxJbC9X+kisEDduQqrrQQ2 CZ+b3vKVLgIL1A0KrP7Mda6oR7/SRWCBunEVdhACC9QRWMAQAgsYQmABQwgsYAiBBQwhsIAh BBYwhMAChhBYwBACCxhCYAFDCCxgCIEFDCGwgCEEFjCkM7DXXqZDEFigriOw11+mQxBYoK49 sBJQPYP/DadKYJPfd+q7ZAeBBeqaAytBagtsHDbP4ey9ZAeBBer6KqyukM0VVtl6TkBggbqu k06+ylZPOumhr9wqgaXCAod1BTaRVUs/3I0N5NU4co/vXbKDwAJ1gwKbnUFeHRK3XbKDwAJ1 xwLrAxmHvi604f7r+SuBbb1kB4EF6o5X2EQ4fo0VNAtsEkI3beuSHQQWqBsUWEdX3dst/O3a 7LxkB4EF6sYFdhACC9QRWMAQAgsYQmABQwgsYAiBBQwhsIAhBBYwhMAChhBYwBACCxhCYAFD CCxgCIEFDFkC++fX89ef8Pc3+vv7v3/idQD/IiosYEhnYLlUB/CdOgLLpTqA79YeWAmonsH/ JMxeYPsu0yEILFCXBHbrN4MlSL2B7b1Mh9DPAZBaArvza4bzEFhVyaYKqzTOP93bKjHwjpbA uijdd8aivspWTjol09YqqQR2t8LKELpjJwC8GRXYzrAkFVNOSKnwTlMZzJ0h96zt6gDAu1KB lQx2HD9mQ1x/jOqq63ooG4PYFGrgfSWBlRBuHsdGPqzlsNgHs3hMcpjer+H4FdiWBvbwMeT0 fKik6eAlH9Ns7hD2j6GBd5cF1sk/b20SK2u4hefHYfJyq1dQqiuwrwys8+VfXuDYFWiyGlgh 1fFLQnuoogPvqRpYMQ9pjxzTtgjDaMIKNNsMLIB/yfP5P2HXLEPLV9weAAAAAElFTkSuQmCC</item> <item item-id="29">iVBORw0KGgoAAAANSUhEUgAAAHgAAACdCAYAAAB/7bzjAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAApoSURBVHhe7Z3ruasqEEDTwO1j15Au ThPp43SQavx1OtnFeGcQdEAegwxizKzv897EB4qLARRy9mNWbk1e8PSaH4/XPNmvskzz6/GY X30SVyxJwdPrMT9OuPt4nuf7135TpIkK/n0/T40sPJ9K7sNe8O97fg6oN6fXc1bH8gSCf+f3 s1ebWwAL1vMNV6BI4guGm/waGEYaxfJ4gn/fr4obvPSCH+siEPnQa9e2WBYiuKZ6Rrkk2sQe pyBdraZFIYLh5nI7VyiU7ovtp4jggX2Am7IJrmh/8bGmj2AsO9oOS7IJrmn/TJVMRAgKrusH KCU8wTWPvyaKE50sb1tlm3r2S5a7c1iwhxfB2AEjsqdJBQ+kg2BMaoneI488KliWdsFG7r6a XiI5XFdGBcuyCf77M//8tZ+bmOY3idzaXvG/P/8JXUcC00GsK3QyLAX+7MIrU0V7uMi1S2Wi PSP4rCHQHGcPj3YQ3EYvwVeq+vFazpL8HYKxn5BJFM8ZRrZZZ2qheBODkZi7zlialLNe6HyB 4Pzrz1UkPSkUCPdWLyrKdixT1xlNMwTTOOG9+/0FE1kpohIdcF/C6nR6v+d3YwQjZ0Tx7QVz Xn2mZUD0v4P19j61VtGGSOGR5uaCeaNTcRnb08AmYRMuIhjP0bmavrlguIGMxHIyzDb33DxB 1WxtyAjuPzx6b8GM9hfJy8BIXiSg1KVnvS2pKpYnGNPs2w7fWzCzjcvKgDRi22QiGPfrOzx6 e8HFtFCgi0i7s5ETrAvxBIePTZE0U4jmN4IKHowKbkEFq+DRqOAWxIZA+9F7eFQjeDAawS2o 4BbBwcC+0CwJFSzLQcEol7yBgWNV8DGuKRiF0p3Ng35CsNnGfx2ngmU5JBgviifYVeMqOMV1 I5j70xWN4CzXFAyYKE52snAYjG5TwSkuK9gjiGAzrOYSC6O9gAqWpYPgoIf9AVU0njM26hNb b9YVaqVtn/yQIiKa3wjtgo1AVxWDZPt9TeviglcZwY7R9ZCX7GxLBPPrpuGYvCf6JpbrC95h 218vk/eJ4BVIOzaZAI+h67G5yk06+EDBgJFqo/oJGTaf8yXZ8RmCt8l3IeEx9xTcwPUFb69o o+LgnLQwq+CA6wteMNsStZJ5inA1WKF5UsEtdBQMiUMkF5odjObCBajgFnoKLsnD7Yx+hwpu gZMnI8JWp3TnyHojPLav7VSaVe445i8WVHALF8lTDhXcggpWwaNRwS2oYBU8GhXcggpWwaNR wS2oYBU8GhXcggpWwaO5oOBtPHRZeAP5XFSwLJWCgwl1cIwKbuNaglEo3Yk5qSw7rBYwUrC5 VlMrhYP0tNaK5ZfOA+fPP0MuJXgnqyB4vWEVORgmGPKSmjFZ+pdw6HYzm6PiHze7lGDcxyuh N4vgFThum0dVmIMVwrgnlGx+TVr2ftPPUUgtQxKs7mQZYS4hs9jMuAuA0ozrXVqfJzgxY9Lk jyEZ9xOJYCcMpdLPdrMHNhHxglAt2MMkhoLjpQf5LMGlaMXthej0or9MNr9UViDOI7NNSLD7 vD/JZwleMNecEDm9coKhAFREL1IteML/k0Jo1tvgwiVI7LhgL2HI9I0EG1FRwVgVpgXn5cep Ewz32vvFiG0KE/ceaYtgyp0Ew3HRa4b1qerXu264F5x/BBWpE+zf33VSfX/B9DmQlGK8US7K mYmPEmwKYuxaU3kwN3WJIH+iOy7xmx3jQwTLMUrwKA4LNt9tMKng65LOb1gr0u9uHUKeYGAJ 01LBgxHNbwQVPBgV3IIKVsGjUcErYSeDLKkLV8EawaNJ5TdakCsXk475L6IRPASN4BZUsAoe jQpuQQWr4NGo4Baq8uS/08XFHYvX5NbFhwvTx5bg53c5R+29UcGOCScebWyD93hjEyM6juSx ZTSCWzicJ3gke9GZExHZScixDC4oOKyO+KWVwyUEg9RtRoZ9/saEIL3UjI4V79gy7PzS2mP9 TFwkEqkUHJRgOOaOgvcT3e2NZCRW++diefl1IgOp7t4bD/GapU4wJkR38qqvEPrmKX7yGOMF 76vYRZrNT3bWZF31jLRF8LJp951QJRgvhiv46M85xguGCAnzuF77IjmdZnAsg0sJxn28aMwI 9uDuBwwXHB7jXftSPSbTPHC+awkGTBSvbQAuNvPuJMFPVwy47UMiOPaIQ/O8drJMfv18is+L XiHN3RPytDZ9eD66bX+PqwV7mEziSUjDH0sE0i72Pi2jBZ+NaH4jCAl2n2PVBMhnRi+igmU5 LthWUWtVkRBcW22pYFnaIpgSEexdPGznvABQwbIICSYNva2yj/6cQwXLIhfBQqhgWVTwYFRw CypYBY9GBbegglXwaFRwCypYBY9GBbdQlScyYGIXdyxek1s3blblMVSwQ2dVnsO4CKaQqTdG akR2EnIsAxXcwtE8eQMj9j07JgTpDZtVeRAVHOF6syqPo4J37KvYS8yqPIgK3gHRSg/CNvgK syoPooJDwmN2nayM4APnu5hg2xatC/9xgMtowdecVXmcCsEolzwiwP53FHw21xGMQukOXtUV YLa5wmA7JyYCSs+QKlgatmC8EJ5gV40vMmt/wqKCZamLYBqB7Agm5I6xqGBZqjpZJoptZ2NZ qCxaFeOSEKwR7HEpwR5BNJrq1yUQRrsD1pde9algWYQEBz3saBUN+zB+wqKCZTkm2Ah0VTFI tt/X4yOCuc+IKliW4xHsEbynDQR7mYBtudEWFSyLkGCARvXzaT9DmpU/YRHN8N+f+eev/XxR /v35r+s1ygkWQiNYFhU8GBXcggpWwQieMz5bY3t54zabfW1/IpX2tk++v4Go4BYgT5wXK0bG 7qT2nTpdjx1J70kh8uhHnhJM2oXM1E7xqeXegguPZI69iCVyw8KB+9F1698OTMEoYNOrHOUt 3FswRiEjsZ1gG53rI57dFu6XFwyFJPaXxD2wIPFeAB3l5oJ5NzAUt3yH43CVkW3bW7hHdIAl LdgNmRYiHPdjvL5t4eaCMb1yGxcTTMVQkWZQxcrjvLTJznphVOGt3F4wJFhsh2OCi1UxRnPx QjGS04J7t7/I/QUzqulQKBaK7V06SgpEoNxcZDqyhYDXP2jlCwQDuRttZNkql+5D1q+r3bqw 3STttCks9rhchJ8Rvch3CAZ6pXsIuNe9217H1whGsC0dnkesBU68iE3wRYbWeg+fLb1gRvsp jn10OrmEfVUEfyOVgm0pXBf5SFDBslQIDh4XsC1RwZeHLxiF0h3s+9q8i+Wl/RLtvMcCFSyL JzjXdccbXyu49mcrSO/hs29jE1x6pWeqZBKFrAgmMPc/6wXAt7AJhltfenVmojjRyfK2xSIV BRcjuP/w2bdBBFfeXC8isQNGZE/4x14CCk3AAqTTefjs2yCC0VlF+xdUuW4YLS6RKY5VCJQa PMEojTPFZZG7r6aNyN069OZ/T6Htrzy+4MNt4DS/iRkqynvsyRagch9AqScQDITPuyxc5NrF Hu+q7W1JR6hGbx/2goHTXzZo29uNqGDktKG1QzWGwiUpGOk7tGardZXblaxg5dOZ5/8BPvls 11somdEAAAAASUVORK5CYII=</item> </binaryContent> </worksheet>

Mathcad Professional 13.0 <description/> <author>Steven Fahey</author> <company>Mathsoft Engineering & Education, Inc.</company> <keywords/> <revisedBy>Steven Fahey</revisedBy> </userData> <identityInfo> <revision>16</revision> <documentID>f2b5bc3c-a146-41d9-a5a6-714dfcaa36b0</documentID> <versionID>4be901c3-8db4-49a2-badf-a5e2658f7631</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="14" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 2"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="bold" font-style="italic" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 3"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Paragraph"> <blockAttr margin-left="0" margin-right="0" text-indent="21" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="List"> <blockAttr margin-left="14.25" margin-right="0" text-indent="-14.25" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Indent"> <blockAttr margin-left="108" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" imaginary-value="i" zero-threshold="15"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC12" local-assignment="MC12"/> </calculationBehavior> <units> <currentUnitSystem name="us" customized="true"/> <customUnitSystem base-unit-system="us"> <baseUnits> <unit unit-name="kelvin" quantity-name="thermodynamic_temperature"/> <unit unit-name="second" quantity-name="time"/> <unit unit-name="pound" quantity-name="mass"/> <unit unit-name="mole" quantity-name="amount_of_substance"/> <unit unit-name="ampere" quantity-name="current"/> <unit unit-name="inch" quantity-name="length"/> <unit unit-name="candela" quantity-name="luminous_intensity"/> </baseUnits> <derivedUnits> <unit unit-name="pounds_per_sq_inch" quantity-name="pressure"/> <unit unit-name="ohm" quantity-name="resistance"/> <unit unit-name="stokes" quantity-name="viscosity_kinematic"/> <unit unit-name="gallon" quantity-name="volume"/> <unit unit-name="oersted" quantity-name="magnetic_field"/> <unit unit-name="tesla" quantity-name="magnetic_flux_density"/> <unit unit-name="watt" quantity-name="power"/> <unit unit-name="weber" quantity-name="magnetic_flux"/> <unit unit-name="farad" quantity-name="capacitance"/> <unit unit-name="coulomb" quantity-name="charge"/> <unit unit-name="volt" quantity-name="electric_potential"/> <unit unit-name="gallons_per_minute" quantity-name="flow_rate"/> <unit unit-name="pound_force" quantity-name="force"/> <unit unit-name="lux" quantity-name="illuminosity"/> <unit unit-name="henry" quantity-name="inductance"/> </derivedUnits> </customUnitSystem> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="1140" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="1140" left="6" top="14.25" width="83.25" height="12" align-x="6" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Mathcad can solve!</p> </text> </region> <region region-id="1125" left="288" top="27" width="27" height="12.75" align-x="302.25" align-y="36" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">A</ml:id> <ml:real>5</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="1126" left="30" top="45" width="51" height="16.5" align-x="45" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="S">t</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.032</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="1127" left="156" top="45" width="52.5" height="16.5" align-x="172.5" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="D">t</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.040</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1128" left="288" top="45" width="32.25" height="12.75" align-x="300.75" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">B</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="1129" left="30" top="63" width="82.5" height="22.5" align-x="48" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="S">E</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10.5</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="1130" left="156" top="63" width="84" height="22.5" align-x="175.5" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="D">E</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10.5</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="1131" left="288" top="63" width="83.25" height="22.5" align-x="306.75" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R">E</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10.5</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="1132" left="30" top="93" width="48" height="16.5" align-x="46.5" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="1">L</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.62</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="1133" left="156" top="93" width="60" height="12.75" align-x="184.5" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">pitch</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.75</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="1134" left="288" top="93" width="60" height="16.5" align-x="312" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R1">D</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.133</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="1135" left="30" top="117" width="48" height="16.5" align-x="46.5" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="2">L</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.81</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="1136" left="288" top="117" width="60" height="16.5" align-x="312" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R2">D</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.133</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="1058" left="6" top="158.25" width="31.5" height="12" align-x="6" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Guess:</p> </text> </region> <region region-id="1059" left="24" top="176.25" width="55.5" height="27.75" align-x="41.25" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="o">q</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>248</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="1060" left="90" top="183" width="36" height="16.5" align-x="107.25" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="1061" left="144" top="183" width="37.5" height="16.5" align-x="162.75" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="D">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="1062" left="198" top="183" width="41.25" height="16.5" align-x="220.5" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R1">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="1063" left="258" top="183" width="41.25" height="16.5" align-x="280.5" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="R2">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="1064" left="318" top="183" width="42" height="16.5" align-x="341.25" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="D2">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="1065" left="378" top="183" width="40.5" height="16.5" align-x="399.75" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="S2">q</ml:id> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="1093" left="6" top="231" width="24" height="12.75" align-x="17.25" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math20">Given</ml:id> </math> <rendering item-idref="21"/> </region> <region region-id="1109" left="24" top="249" width="74.25" height="16.5" align-x="86.25" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="D">q</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="o">q</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="22"/> </region> <region region-id="1110" left="24" top="273" width="85.5" height="16.5" align-x="97.5" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="D2">q</ml:id> <ml:id xml:space="preserve" subscript="R1">q</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="D">q</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="23"/> </region> <region region-id="1111" left="24" top="297" width="82.5" height="16.5" align-x="94.5" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="S2">q</ml:id> <ml:id xml:space="preserve" subscript="R1">q</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="S">q</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="24"/> </region> <region region-id="1112" left="24" top="321" width="84.75" height="16.5" align-x="96.75" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="R2">q</ml:id> <ml:id xml:space="preserve" subscript="R1">q</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="D">q</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="25"/> </region> <region region-id="1113" left="24" top="346.5" width="241.5" height="35.25" align-x="253.5" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="1">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">t</ml:id> <ml:id xml:space="preserve" subscript="S">E</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">q</ml:id> <ml:id xml:space="preserve" subscript="1">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">t</ml:id> <ml:id xml:space="preserve" subscript="D">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="R1">q</ml:id> <ml:id xml:space="preserve">pitch</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="R">E</ml:id> <ml:id xml:space="preserve" subscript="R1">D</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">A</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="R1">D</ml:id> <ml:id xml:space="preserve" subscript="D">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="R1">D</ml:id> <ml:id xml:space="preserve" subscript="S">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="26"/> </region> <region region-id="1114" left="24" top="388.5" width="328.5" height="35.25" align-x="340.5" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="1">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">t</ml:id> <ml:id xml:space="preserve" subscript="S">E</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S2">q</ml:id> <ml:id xml:space="preserve" subscript="2">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="S">t</ml:id> <ml:id xml:space="preserve" subscript="S">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">q</ml:id> <ml:id xml:space="preserve" subscript="1">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">t</ml:id> <ml:id xml:space="preserve" subscript="D">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D2">q</ml:id> <ml:id xml:space="preserve" subscript="2">L</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="D">t</ml:id> <ml:id xml:space="preserve" subscript="D">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="R2">q</ml:id> <ml:id xml:space="preserve">pitch</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="R">E</ml:id> <ml:id xml:space="preserve" subscript="R2">D</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">A</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="R2">D</ml:id> <ml:id xml:space="preserve" subscript="D">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="R2">D</ml:id> <ml:id xml:space="preserve" subscript="S">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="27"/> </region> <region region-id="1115" left="24" top="448.5" width="177" height="117.75" align-x="58.5" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:matrix rows="6" cols="1"> <ml:id xml:space="preserve" subscript="s">q</ml:id> <ml:id xml:space="preserve" subscript="d">q</ml:id> <ml:id xml:space="preserve" subscript="r1">q</ml:id> <ml:id xml:space="preserve" subscript="r2">q</ml:id> <ml:id xml:space="preserve" subscript="d2">q</ml:id> <ml:id xml:space="preserve" subscript="s2">q</ml:id> </ml:matrix> <ml:apply> <ml:Find auto-method="true" method="linear" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve" subscript="S">q</ml:id> <ml:id xml:space="preserve" subscript="D">q</ml:id> <ml:id xml:space="preserve" subscript="R1">q</ml:id> <ml:id xml:space="preserve" subscript="R2">q</ml:id> <ml:id xml:space="preserve" subscript="D2">q</ml:id> <ml:id xml:space="preserve" subscript="S2">q</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="1118" left="288" top="448.5" width="90" height="117.75" align-x="321" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:matrix rows="6" cols="1"> <ml:id xml:space="preserve" subscript="s">q</ml:id> <ml:id xml:space="preserve" subscript="d">q</ml:id> <ml:id xml:space="preserve" subscript="r1">q</ml:id> <ml:id xml:space="preserve" subscript="r2">q</ml:id> <ml:id xml:space="preserve" subscript="d2">q</ml:id> <ml:id xml:space="preserve" subscript="s2">q</ml:id> </ml:matrix> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:matrix rows="6" cols="1"> <ml:real>134.14353374538925</ml:real> <ml:real>113.85646625461075</ml:real> <ml:real>35.18947961389329</ml:real> <ml:real>78.666986640717454</ml:real> <ml:real>78.666986640717454</ml:real> <ml:real>169.33301335928252</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="-1"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <general precision="1" show-trailing-zeros="true" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="29"/> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yNOxOCMBCE74iI4gN7CwobY2FBa2PhWOpPwIjvGUcHKSz953HvwN5kNtls vmz6RMSQg2L1BmtyyPJz6Z6X/PQo764KScYE6mq8cpXTiKZQ515s97djUdXRrt4okMU0/Qto rl5OsXtfX2utNsrOoA03bD08JvHs//RXHlWlK47ZSv8n24Apj4gtgxsHzGxx6+ECtgaP4Qzb ltesBY68uBDcZym3beH0baQc+jqCkU+5K20eSQzIS9IDg4aU+2BQkPJAf4QZKgOTCCPwFwAA //8DAG4+JOeDAQAA</item> <item item-id="2">iVBORw0KGgoAAAANSUhEUgAAACQAAAARCAYAAAC1tw6GAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC/SURBVEhL7ZPRDcMgDAWZywN5Hk/j ZTyMa8BRqSGlEqJNpZzEBwlJjsdL0otxC834HyHGpAnZZzthxWTfKgPPhFgJoCzYrSSESuIT YygkRCZSzfeG9EwH3GogJEpULcqxAdmVNwgprIr7O7JUL2Q33ccXwkuk59hG4OhCGB/Z5rQG HSqphBcece6GsROyMoePC1m5Z8dWWE0oPx+EYuMr3yi3wdh2qN1d+6uHXY+SWim1ScQU+1L/ mFtoxsWEVB8NEOxCgEMeDwAAAABJRU5ErkJggg==</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAWCAYAAAB5VTpOAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGVSURBVFhH7ZaBjcMgDEWZi4GYh2lY hmGoDYYYFwfSqqdrypciNcQQ+/FNY9JWpw1EaAMR2kCE/geQ6JM1Jhljk480JqXERG9hTI7H 5C2OyfGQHIy5QLcD9UCCOw3+jDBJSjoX7WBESomB346qzWAo+ehdgxAcQLEeEK2JASlU/xwI bEItRM1hMcYeVjikQh6LgHCLwXWVCtn56jQU31kU7qgsbB4D+Xvl5ZhbdUjOkzsNf5c2qnUz h8z7ay4Bll/KwlgsL04DosccBcl5Wc05NU5AqO5BF8KzcyA5qC4Cxbr1XlzV+0CKsoueWgNq 4ufH0CHlUb3XgXQTaOenh9N1h2Tox0vV82Eak/PvgQQnAL0PhC/4GYeU97Ikh9AXYjpoGGa7 WvK/ERW9CATX5LtZd5tN0pQXG+3aomh+9y655iCmtAnPuajV0S6cw9xr4fOiORk3nT2jNRSx wKf+vKcmQKpKO/0CFB0IWLR+BRYVt7zcFl+iUyDdocMPthtr4pDAzpD7uwO1eIb8jjYQoQ1E aAPplNIDaLaP9xUGchMAAAAASUVORK5CYII=</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAEYAAAAWCAYAAAB9oOpzAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGJSURBVFhH7ZSLrcMgDACZi4EyDwN0 DpbJMNQGJzWODaRtpL48TkIKxPwOg0sTlSnGYIoxmGIMfkvMGpJ3LjnnU1ipTdKJiYtLS6QK osbHtEBbFSeoxcSlGXwtuFhafN7MAi2STgxJeO1hZEwdJmZNwbctXgocitsnN9bSiYkhpMAz ZmRMAxJTOrmcclBGe0sOJzbOGnw1L14JL+5KM4aynV8lMz6vk2cSfpfrte2fZUz/3o0jRPNi TICb4CIsMXoMzBfKuFLMMf5BAoSM7ZphlsE/QwzvUBe52G/xkZgIV4ia+2KgrmZMidnqzYw5 LC7bBEHGqb84nzF57P2f8R4YMbhOOU8RZoz5dTEIpZps/hycny3WB9iKpB/DM8aM5zL4N0J1 JqYMyk9VFUMCj+1AHlQ56VGofyVejqnFMGoxwCGeZbOHB3vPbHxj2L/c2UAXUzqrYm7EG2Ia GXMjTovBl/6aN+a3OCWmSLl/tiCGmHJdyqNUl7cf1j9GM2P+M1OMwRRjMMWopPQEmU8WJ0yq XoIAAAAASUVORK5CYII=</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAACsAAAARCAYAAABEvFULAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADxSURBVEhL7ZSBDYQgDEU7FwMxT6dh GYbptdAoYAHvlORMfImJCLWfTwvQg3jFruKJYgN5AIL2cUgxL7ifiORSHkfYSRLRbVocLyqc jYQOyAcd6hj2Dzci5qjIJNrzl5Z2DQvPE0IrlpFFK9wNvjDByCtUm8jCh2KDHzirx9ibHpGO twiUPHLMNcXJ8ubMMqhq9pQSI24SL2JLcbZYQXtJ/zN31qyna5wVG9FzzaoZXI7zmuWdjQ3+ 3lk51n3OyCtU/aI50nviGJSd7V8tv9N0utXEhwbbxOrAeLquXmiwhMZXZjT/HNyz/88rdhUP Ekv0AZguXuE881I9AAAAAElFTkSuQmCC</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAG4AAAAeCAYAAADNeSs6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJYSURBVGhD7ZeNDYQgDIWZy4GYh2lY hmE4CoUrHKIIeCHpl5icHj+PPlpUWGZL2LhNYeM2hY3bFDZuGcaqQ1ghhJUaH02EjVuCttIZ JlY4hrBxC9BS2EMZvFsDGzcbo+whpJXOPCiTq7KOjZuMUYczS1rt/Qolk8+4DQDjaJlcVTbZ uNlomZXH0shZsHHTgfJ42OAVfBLE33P5GucPVTxQs8vVa2zyJuGsKGZOGlvBwFfxydq79EDW oYb55xuuD++Q8NFIJzNKLtkxLXyQQFy2arKT8c2tFpMVekf0rOLSuH/xs8Ozs+NM5zfbZp8r z/Sso2nc492LJWRkIWWgyvvm2xrOX/8fzC2yA9ofyq3+nCE9Z3idLmt10FuWVj8HPhdRH/ap Gpcal7W7m3I8clGFFWqBooG5DlTFoAT574ZpwLiekm91iKYEo6LmXL9xH4Ym9TkxLur7ybh0 6IKhrq28XvBTZgRKw4cw/v4Fg3DDNGBYD1YBMgQ+o8kRNMU2MCbEOxu3lXHZ4JFsEsyky0XP yzi/adJ9Q2cC2qwzrl9PhapxZZWLWUYqxC3joCE88B1oIFzbFzMuWxRouQq4C+x5BsBYJBA3 zBvWU8PHlMQbNkMaR1tF9GtJ5sqMw0Fq2REGDqbeOvdKQb2kkuwuOkjSSDTQuc76ZRDTIjBG K/A9enpI/eNFdcVMw8vPGz1wV2h0F9KxXDzTjzfumemdxkXibmDzhnjFODeJzGaonIdMB7QU 9idAl3HXb0DMW3RmnHvTSWccZ9s/eXjGMf+GjdsUNm5T2LgtsfYDX67UIId6XVsAAAAASUVO RK5CYII=</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAHAAAAAeCAYAAAD0HpphAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJYSURBVGhD7ZeBza0gDIWZy4GYx2lY xmF4FAoWBK4off4k/RKTqxfh0EMLKissjRi4OGLg4oiBiyMGsnPYfVNWKWW1wUcTEQNZMVY7 4xSHc4gYyIjRym77gXc8iIFcHLvdlLbamQjlkysLxUAmjn1zpmlrvG+hlMoeuBBgIC2fXOVU DOTC6KxslobOQgxkA8rmZoNn8CkRf8/lNNBvurjhZper49jkC8JeUihIWntBwSP85DkM6YEs RA3z9z+cH94h4aOTDnbsmmXl3MEHC0RmsycrG096tdhw6H6jh4ufBn7NZcVne0tL75l9s/ed Z3r46Br4ehVjaXkzoTJg5X33dIfj1/8Hk4tsgfbb7qLQ5pWeFl6ny2IT9JYl14+Bz1XUh+9U DUyNy5r+mLJfclGlFWoBowH6HbCKUQny3w3zgPd6Ss5qEc0JhkXNuf7DfVge6Z2GgVHfmYFk kOIaXm2DzAiYgQ9q/H0F53bDPOC1HqwKpAt8RpMlaIptoM9LrHsZmHVOuIiLp6zWC4l5GejH TPd9vQFow2fguJ4KVQPL6heTiFSMWwZCQ3xQXV3exFml9solYHRyoO1X4J2+dkZAXyQgD0ro sJ4a3gwSd4hp6sfYneg3moyVGYid1LIkdlwvD2FlVINUChvFLw7UQTtJWsnCoWO13ssg5kWg j54BI3pGSO/Hi+oK8c3HJRUtNLpH3cDQWXuVCz/xBj4zf4KBnQwU7vGlgX5PeFo6BActkb3D Vp1XBgbzJPu+5KaBxUZKruYZQfgvDGWg8PcQAxdHDFwcMXBprP0HjpmnH3YJwvEAAAAASUVO RK5CYII=</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAG8AAAAeCAYAAAAiu0AEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJbSURBVGhD7ZeLrcMgDEWZKwMxD9Ow TIbhYTDUEPIh4PYh+UiRmobPjS82RDlhWcS8hRHzFkbMWxgxj5XdmU05pZTTFv+aiJjHhnXa m6Y4XEPEPCasVm4zO97xIOZxsBu3Ke20NxBKJlf2iXkM7Gbzhmlng2exfMqetwhgHi2ZXCVU zOPA6qJU1mbOQsxjAUrl5qJf8LmQfs/lY17YZHGDLS5fu7HJt4l7RzV71nkVEDymT9bfpQey DzXM3+/w/fAOiR+VdLLdaJZVc0cIFAgs3pysaDzRteLCoXlEDxe35v2Sw0ov9pIzrZ+sm73P vNPDx6V5QysYy8nIy9TBqu8vT3E4f/s5GFxlCbTfjI/AOUN6zgg6ffbaqLcus2EO/F8lfdin aV5uXNfxV9RjkouqbNAKFg3OfbAaJmXIswfGAeN6aj5VIhkTzUqaS/27/3Dcc58T85K+T+ad GHAT/FFmBMvCxzL+PoKBeGAcMKwHq0ERtpR5uVvUlNrAmBDrYtyrzGt7Uj3D01S7LWVe5oU5 8/2V1gS04TOvX0+Dpnl1xUvZRirFI/OgYfijfhbv71b+CIdg0RcDXXdB98E91wdjkWC8KJvd eloEI0hcYUHkcawzRL/VZK7CPByklSFx4NK88CKHFUKoRfWCmR0uOkjWSeamc531KyDGJWCM q+D36Okh908X1ZUyDq8wb/Qh3MdGTyCd8kDCMMG8d8Z3m5dX95sSIRz5unme/mOxcISWxauD VZvX5qWJpXr+jofmlftdzri8ib/crIUhOjJP+G+IeQsj5i2MmLcszv0BwCA2kHJBgXsAAAAA SUVORK5CYII=</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAAEAAAAAWCAYAAABwvpo0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFFSURBVFhH7VWJEYQgDKQuCqIeqqEZ isnlQ6N3Ajd6zwg746AmhOyyqIPBMQXQcVhMAWTIEL0D5+QKSd7+Ajl6cM0G1n4l1fbvIWZO QiQIDT7GAVLk5+SJRLUJIWVzcgwL6RQw5iOy6cNfCUCoO0B69OsWPyNH8C6gTH24VgBe/FyN qgBKLtAuHzmFcooDOF+PxHKvDtL5H3KA1JIzubsaC9QEkBjuLoWPxE5BHVKI7kgXd2Aexd4S oG7Pa9ASwNqfzvv2OCBRe/5fOkBC5blbAG6sYwcFn3TAGtsLkMgdes84LQDaxD7XmrsK1TU2 JMjWKyGat0zDvECBfgGOdmyraFMALnriO8LnUtcuRfY1TU55x7++Mo8vImo4edzIhR9xMjEp 0YdvOODbmALo2IUpwNACvPpA3QBvOeCOmALoOCwGFwDgAVsNd3n0x/xtAAAAAElFTkSuQmCC</item> <item item-id="10">iVBORw0KGgoAAAANSUhEUgAAAFAAAAARCAYAAABKFStkAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGsSURBVFhH7ZZrkgURDIWtqxdkPVZj MxZjEiIO3frBzPxyqtxqgiSfUNfErSVtgIvaABe1AS7qA0AfrTHReum+0syaBQUXD/JnzBFd kLFGOR4DrcaGNku9OnYX/3wFevsAJkR39EH+pThZAZdAFggg75sxb+uc4OwA+r0mAWY4z2D+ sQLpQI06ehMfzbGOflm1+o6PFFuA6eToFH25ChBEsYVaWamVCZxAGTvawKyHNWq7kFzBGeDB HQCQw3mAQb5sbxf/uk5zxu8Km/0BQDBIkimodBWKTTZTMPxNSptfvRvdOgzoVt0hYRvQ5VgR 2BPA8ZXlmPucyzc3yTMVDPFJa4pOCQKMxgbjpD74qnbeuf97+gYQr+9Z+jZizj0b6b8AeLXB GeB1ZcwC/F6BqSLUlteP/VAcQyOvXQIIjjmo8mbdALzaPL8vswBnxHtDsndvLeU1jIFsWrmY 10WOQ4D1xMu7BhUhgfEVaSoivQkyJut0jjiu/bJvJ/E/DVjj7xNt98S/L0kYu07EnAm43ghe CzaZnSVU1fnWozbARQHA/D7VMt16o7YCtz4qxh/G1iWVLOmlZAAAAABJRU5ErkJggg==</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAWCAYAAABXEBvcAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGqSURBVFhH7ZXRjcMgDEAzFwMxD9Pk 6zbJMBxgQ2zXhnCcqqriSZEaJzjmYegRN0tsgYtsgYtsgYugwDP644iHcrlwwSufxBWiK/W5 2CvvCi4e/sQ7oMSUsXocvIgUDNaBpxfCTg9JexneTp4UTrKI9CnyShNCa0/ve5wfk2vFH9AX mCkS+yv9VnI9bYJXDM7ukK6MlEfdXVbcYCwQ23gm6RDcghML3ZBS9JoBW2ASHx7ES5202/Nv ctyl3A8Ewir/q8AG5IazR1yG3SyF1jIv8BbAx8l4vRfS6pGBO3OiA3/0ySoT7W6dRdYFAuWZ cn6yuNqB+cF9PxQICetAceaUVeBbEd7Xxb4y34Hlm+2ZqEfQEwiNof0BkfiqwCrjjsmC4V6V bha+Sp4gmZQLqQqdbh1sIQg0/lwg3eP84t/gAkEwSYoMBZaP250zBMezb8ucuDvKhcHaEDSW 0eNkdzgfff1dupM8w7cfQgayj3GGAr+IPwksbvIKG9tnCzThW9j6B9wCTbjAenZKV1ugCj// Wue1wxoPdOXw/mYmO3Aj2QIX2QIX2QKXiPEXw35OkLx0TBoAAAAASUVORK5CYII=</item> <item item-id="12">iVBORw0KGgoAAAANSUhEUgAAAEAAAAAWCAYAAABwvpo0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFjSURBVFhH7VWBEYMgDHQuBmIepmEZ hqEhCRgQTmi1reLfcVpB8v9+6OInx2MAX6fFYwBdnDdq8ctCQ1t6+nU44xVyUN44flbAGZV4 qmIRzmXkrdc7ekQCyISfiUeyLByN0PCkRLlmNSoZMyjgfwywWpBvcMmMEWYwtgnYx7EGcITf 2aMkb/U24pEjrgPDdltApiTdU1vEtJyUACYaC8nRKBDIS0F1AwJYQGWf3IAotBAdExQSB3Od BkhBeeyOQq8Bzmioz3yUAWYr+hJAU/F3lwFUlO4DsbLwFuMJwC+S5hpcAulUe7vmeAOAVJVE 9YT+FOJQy4QKZLUp1gcZ0PpiFaEtcgG4aT1FXeD3szYr9kSRzC9rEexp5o2LhSYFHzLpC5rE HL09gMrpe2UMGgCx2+3/a2HIAKvP6P3fotuA0Hupt6Ev9U3aoMsA/OuLBwwOcUhdHOOH4M3w GMDXaTG5Ad6/AAKgY9MUspvrAAAAAElFTkSuQmCC</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAWCAYAAABXEBvcAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHOSURBVFhH7ZdRjsQgCIY9lwfyPJ6m T3uTHsZFsBZYtHXcmUwa/6RJpRXxE+iMS0tTWgAntQBOagGcVAG4peBccsbl406vfJP2mDzG 51MvvD365MJWRiS0GXNtO3FRLoREBm5BAdsCOe15+LjypsomEWQAy19VIDx2eD+U/Qm4LfsN 9QFmIcT+SX9UOZ66wT1F386QLgzwY1ZXy97QNcCSxiNOL1VKcOCgqzQUO2ZSGyCAjzfsGCfP 9nzP2h34vgGQTvlfAVaRb+o96mrQzVB4LOMATwBynrYfYwXtaBmlMgcy8MferAiQA3lP2c8D JOEzo38Ku5mB+cE5vgRIDo+JBKjGhKdwjvcY6gLZl/MRZvQ0noG4Zn2m4lHqAQRHkBjWB4jZ ZwESPG7TAdPYzABcwApwVnmDbFOdQ+oCFAfBxO33AfIal5dcQwKU2anU2xwu3s6cS5X5Ym3t s1QHXsV4JAS3Zdl2Vh0+pHDcY1KwZ+Xtm2ITxWKGYAOt3vQkvQQQueUTbpYPZPRl/3uGXgcI an0Bt/CO3vedmgKImQalzCs595M6hr50/EV6qgYAyv5XM682a/h9xvtjsT29DQ5m4JLWAjip BXBSC+CUUvoF30xHFIaOcHIAAAAASUVORK5CYII=</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAAEoAAAAlCAYAAADlcn/+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAH8SURBVGhD7ZiJlcMgDERdFwVRD9XQ jIthJa4MMnaIN86F5j0SYxKOj0Y4WYJqSApqUApqUApqUHOAWl0wiwluFddd+WCXJSxcrM/3 pgBVFs5w8Do3N1qDM32gGlGog7Z5QXl+TxYz3BDvZ8txAduxJgVFIIwjo93qkQt+TkitR/IW o0pBKai7OgIV65bOxnI9LSg+8kuSZiBYL/dY8PxEReTyTwOFi+jvLNsEF7E6UxcX7XORPgrU 6myFw0DqyVQUrYGgOAp2LPVkfa71MHdkeeeCw4hqPgPQLpAA1fr05t8HtNn1k+J+MKK8jX22 1stWTQ2vsp7YERr4FKgqmTShjFBsFk59ufQdmaPSvAf7/IduoBgMDtYJ/deJFt9EE1kuV7bJ nPNa3hSZ00jdjXqwxH7iKymeHk8FdT6ivG3HjYld9FEfECucNN5VgdVGFFrvTRHFG1YXS3Ow dUJJTUQ1c0wWvB4UCZ9JUkFQmOgPTpc4+XMT3kbOdpyt9d79HNXsVhvWaUGvj7Z3agxUvJa2 PIiqH1QfVLZPCmmC1c1f3wrqXC7bj6hG4lmFwXWO4l/WICiSjLJ8exaNg/oVYdqo13Ci73hy MlAFiIBTHCJzMUgjCsHIOkhBKagdKagRwQ91Y4OtP9o5R2Fb51+I/K66IwU1KAU1KAU1pBD+ AE0yM1Tq8J52AAAAAElFTkSuQmCC</item> <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAADAAAAAWCAYAAACG9x+sAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAENSURBVFhH7ZSBDYQgDEWZi4E6D9O4 DMP0oFJsOati9DwTXmIiavH/X8DhyxkGnmYYeJph4GkaAxOCc+jqBelJJzGgT7XQXcj0aRAG cqHHEHkI5wxUIgYvhYjLdNevYTGQP5YTU5KimCbLAvIPkjgISeLF7GlYoRqIwdvFdM/JlGT9 noH+DmxqMNAdkO37MiAnurEDlgYDtYkpAZUWF3OaYnIL+un5TWxryMgNPmtRBhRrqdclsZ3K ZSgN8/85mAlmHR0GGE7hByakBrpvl1fqVhlq6KVIO41BrR2dxi20Glb3h2WgpXy8eGjO659Q Or+sIToJDxuAMKlj8db0LdqupEfHDPwxw8DTvNwA4ge8RkoHFKNaCwAAAABJRU5ErkJg gg==</item> <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAADIAAAAWCAYAAACCAs+RAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEKSURBVFhH7ZWNDYQgDIWZi4GYh2lc hmF6/Ai2vSKKmBDDS0hOPeR9fW1U8BEtkNm0QGbTAplNDGQDoxSosoy/0ylnQft3mO4X3POC QMJGDdblS/MMpMiB1dgQWlXK+14OkPBn/OJY0bCZV+ZYupw0WFUvdRUQZ/Xp5s0w47FKHqjZ O/cTaXmRRBPBcbZAgvieUWp4kUSGPVaCVK0B4p+GthNbLB7eP+xnXvK56X4CJiBEVxLZ20YE GSniJZ2ZCxR8BciHICeJjBT2En/ztvPp7ZdU8SGNVAJJ8b8wI1jcizg/NRBBHCT38Otp/Gmf j6O3QGl7BaT+Hekd5McSOuZyIrNrgcymj4AA/AA5VN03vPnDQwAAAABJRU5ErkJggg==</item> <item item-id="17">iVBORw0KGgoAAAANSUhEUgAAADcAAAAWCAYAAABkKwTVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEhSURBVFhH7ZSNDYQgDIWZi4GYh2lc hmE4WrC2QLnT87xg/BISQX7eawsm3pjH3Kw85mblMTcrlbklOmOioebSyIkEH23a1x3edJ8+ Zg4W2ujD2nXnmyNC9JaLZE11vl/fZg4m840xyrBYEdIREbwdiPsSVZ8OmWuEicXZIP3GqMny wvWK6Zb9mRvr6yMzx9M+Mlf6liZnfp45VV8f8aBQ9Kn1zeV57KDCW3Mo6PiDousD+GOTtQlz gk7maFNF3U8zVzOorMWBzpTp3O2gLYbysD6NtPzNHH7XJZu0lK4Ef66Zgg3ayNT3DbjMXK2v ex81cw3S3FrftY9LMyco922LPlbXB+bkfaOMYbRgrESM+uyQK2mqbfSg3IDH3Kzc2FyML2vG dRSbK2PkAAAAAElFTkSuQmCC</item> <item item-id="18">iVBORw0KGgoAAAANSUhEUgAAADcAAAAWCAYAAABkKwTVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE6SURBVFhH7ZSNDYQgDIWdi4GYh2lc hmG4tkptteXUcJdo+JJLDpH6Xn+YyosZ5p7KMPdUhrmnsjM3lzhNZeJfhCcdyakEiBtvB72m T5jDg6GkXJexvzkmlxSkSPFznV/Xt5nDl2VgyjIedoQoEfIdIaAnrj4fNpdTaBxexPM2ZW1b 5xTZ0BzBYEhwosX1yrX12ejKyay3zK3rYJXoxEdv0dRnoy4Uyo7KpG1uec9pP/yoVzkSdP9C 8fUh8rJZtClzCqNyHLSlDjJsVrQ3hr4qi0YD9i6Zo8PYHu5MQfa+zlsnpD76v29ZqPK61NBm rRQGOGbGqs4cazJ+zF6fOY+euQPaHFUIAsvuxHngNQSP/2hNZp23LfvUXSfM6XnjilG28FmA C2Tbr8/+6g05dFvrQnkBw9xTebG5Uj6jBm2Y8kfHPwAAAABJRU5ErkJggg==</item> <item item-id="19">iVBORw0KGgoAAAANSUhEUgAAADgAAAAWCAYAAACVIF9YAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE0SURBVFhH7ZSJDYQgEEWpi4Koh2ps hmLY4Z6ZBUFXNsHwEhJFgf/nQNiXsw2uzja4Otvg6jCDh1VCWJGHgpmHMdpK2Fvd3viaRmTQ LZRWm/Sq5hjMGKslFopG0/11jcWg+xlv7CPtFvOIlSHzSQ4sGIl4kqbGNtmg0fJ08aGYIR89 MBPXGK2yKfevkBosn3E9gz2NNWgGceR7Bh18TWLg4Ft0NNYgl4yPEIlmxyB8deX7Ne8ObmXQ i7p/yZxpTHrCfAgEMUgYyWAss1pmv/+dANEYtKTA+TaBbz8arGUQ5rr99xBYo3/m5QvZjq8U /5GWQM1gKBfag4cqQZkK11jtz5bBCtxg6gU+l3sLDlAsIHOJ/Vdq1N/kAwZx49KBL4pQ83jQ zP6FSuUNZ3BVtsHVeblBaz8vyb5cXWfOdwAAAABJRU5ErkJggg==</item> <item item-id="20">iVBORw0KGgoAAAANSUhEUgAAADYAAAAWCAYAAACL6W/rAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE5SURBVFhH7ZWNDYQgDIWdi4E6D9O4 DMNwbRVo0foXvATDl5icKPDea+Wm+FGGsd4YxnpjGOuNytgcYZrilC/AkUYEHx2uCY8XvKdN GKOJLvqQbqGtsUyI3kmB4jJd39dWjNHLcmFOWEzmxUgAbYDiwKNEQgoVm7fkTNsO2Vjwzp7M v5Po1YhbjAUP2cwMZdzmfsUOtRnoisnEN8bkQrJiggsbPuJIm4E6PDgZlWKanFI+aTXa0KoY i3l+eNjaCHmwLBqVMcVelXILGWlhsu7QeSOUtkVXCow/B3x2w1gipVM/w/HT76sRUhv/rtsU q7veavihqA7eg6qETomYYS+EF6i17X5/lrGa9eXiTf+vUP9nk5sQ3mbtoNKLfDJfNgZ+Vse0 7ml5yQD+RF1FHLpmrEOGsd74qLEYfw4pKyzJPUfNAAAAAElFTkSuQmCC</item> <item item-id="21">iVBORw0KGgoAAAANSUhEUgAAACAAAAARCAYAAAC8XK78AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADpSURBVEhL7ZLbDcMgDEWZywMxj6dh GYZx/eSVJu1HI/qRKyHFwTbnGhJt1gPwfwAlJ0rJVi6VMCNV26Gs/zT4mSYAPRziwGN8hzpA yewaCKfTxgncowZQEa7dViRwwH5NmS+GpfAcx/1oruVAOGr1dpWR3wCO4x4SAbxhTIgnA/N7 KBi1shd50mM5dIJm0/ItMle+GRpcT98iaRDAvIdROLiPpaBrvcfLG1hfuZA71NpgmEJ3z9K8 xYjoI4A3nKdwBcB6C2192t1zzncTcPUH5suqHY7X9E7k/5nbk3o1NMRWsU8PwGYAohd634Jx I16twwAAAABJRU5ErkJggg==</item> <item item-id="22">iVBORw0KGgoAAAANSUhEUgAAAGMAAAAWCAYAAADU1CLnAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHISURBVGhD7ZbRsYQgDEWti4Kox2ps xmLYgEETCAgKLh+cGd6o43ojh+BbzGQYpoyBmDIGYsoYiCnjn+yrUctilkWZdZ8y/shmNEo4 pOieMnaz6hX+TkQ2mHy94QnMlYIOwTPE2rJt44eGK0+pkdEy9wnv8q/fyUNiXxWRYd3AvXgM kLZxp2DuExmtc2t5ny8JoEPCylBnqI2Fe/H4KIKY8vvYecUVaR9uC09NNLZbUIwbKiEmmRuu 1mvQl+Bk8mkG5e69O5GVEbYNK8od+9WDL5ya3JOyzsjmArZINvl+UaQmt5K7/BIi8cEQYYsA 5xTP8CVJu0YyaIElE10mI5sLRDIs4W/ecJNfgiSADhmyPdpMWNzsTrdK2IN8UWiuagIKZQDp 3IQM9yK57aqOXL7POq43WgAeJ/56bkob3kiL8kLCYhtT0hlYSysZDJZ/5PjdxO3rHd+9QobH r5RORRXJaNsZDJrvjsMtrHF3EGQZLpR0AZxrVgFfMc0Ic+GSJOPYVjpMSpgvfk++lhESFUE+ Pp0JZfj9vUtXROAucO1TBf9FPqdYhl438s3o0BUR9MPJR/9sgtCtvSiTMfmEKWMgpoyBmDKG wZgfBhSLwe8LXB8AAAAASUVORK5CYII=</item> <item item-id="23">iVBORw0KGgoAAAANSUhEUgAAAHIAAAAWCAYAAAAcuMgxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAH4SURBVGhD7ZYNkoMgDEY9lwfiPJ7G y3gYNgmRJhiULrDbMrwZdqrl5zMP7C5+MgRT5CBMkYMwRQ7CFPmtHJtfl8Uvy+q3Y4r8Unbv WGAQ6v5T5OE3t8HfydvsIM7tfAF1XOFk8hWDpvG4ns3BnV68I/Ivc5XSJtNrvN0sjm0VItEr 9OXPgDiudAnWP0LkX+cqoV0mS55sFihyjYvj8tCXP4cwwvL57t0p9HUBbHIyEoNHnL4TD6mQ fZK2ZqRmc2Xmkn2ZdAdrbjLlxlTXqo5bkZeHjeEC2FmFoV0IE/CYY3NRHk2cExMpO5H3uYKE +DVn0t1hvMjZgtpaSej+TTNRG4k3Il/xYuIkPYVD0jEnyVibMpH3uRKRfJ3mvBS+loa1suTJ ZiNe7bg2HBrVM+7e2B7C0YTGfZ487a0pFAnkc2mRod+1WM1FAs1q9Vto8+C64XlzyrnjUzj7 BODuaxY4ReUK68diZmT1EKmoqVUjKkVauwzuPZ7GCgyR5AhfXZl1P0Nk4xOZYIukYOdODwGt cNarbHevB2rOJZd+tdoF7CyyolYtyZ/IhDRcCHa9F+sFD+h6pY5okZCSdn3qrKtIg5JataZA ZChO2HG6ydpgeP19v90X0L+PsUj036FYP15D6y6zrFY9KD6Rk89mihyEKXIQpsgh8P4HQvMc FJjGef8AAAAASUVORK5CYII=</item> <item item-id="24">iVBORw0KGgoAAAANSUhEUgAAAG4AAAAWCAYAAAAhKqlXAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHxSURBVGhD7ZcNDoMgDIU9FwfiPJzG y3gY1paC5c9tApskfEmTgQjPvta4zS6mZBk3Kcu4SVnGTcoybhYOY9W22W1T1hzLuEnYrWbD nIF6GTcFOxildx4c1ijoPB4x6Cy2ow8NM//kaXqQNk3nfeUocRgljEMfYS3/BkQ70hBc/mui nqYHaddUMktGCTROhUPxWFjLv50I4ap/l4YZEombo3BoV22gaRFu3XCNJhPkmiTkmZKqnspe hX3SSo3pqYmp5qiNS+Oyh5Si6Lc3hR9YOVGH0cEs2pDnW7nUwxrCZU5YvBzuvzLhBndzJAnF UYkiUcHw3jzihxcdk4kSlYU3l6opW9fAlR4Wf+bQjWVVIlmiW+mQo5JZMsqIVzSeAwURrQxV GiJOVP1VyPCmV0u+4Z0e74lbl2vrbhzQnKO7UGGc+9cs5oVJBZEwKTYBKjKt+m5EeqQWiIo5 I4yLuJOjTnxhnMd/DqfXYL5jt2UUjCNP8PVVOff3xnlqOepH2TgSJCoHxjrqJJE4ZtfjRGZ6 kvPxo6jU6UONu5GjntQ7TkIi5bs7/j+DCQoCswcYQZoUV+FpkoZ3nORNjnrzsXHa7JQsV2Fx tfs5F+PEOpxp/rzQafTFJ84PY4hfmHeRoxF8ZtzicSzjJmUZNynLuCmx9gWC6gCVnlwaxQAA AABJRU5ErkJggg==</item> <item item-id="25">iVBORw0KGgoAAAANSUhEUgAAAHEAAAAWCAYAAAD3j3MyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIBSURBVGhD7ZcLsoMgDEVdlwtiPa7G zbgYmoSIAQN+gLY6nJl0CqJcchPf62A7j6eb+AK6iS+gm/gCuolPZJnsOAx2GEY7Ld3EBzJb w+Y5M82vTFzsZCb47FxmBtPMzAPI4wgdySMGXcY2XcPATAuumPgtTVeoo2m7Xw+NZRqFiegp rOXvgGhTGoLjPzfxm5rOUk+TZpwMDTRx9Jvj9rCWvzsxwuH1fTuvLRtvItcGa8QBAxLPwRgT hhZpcsSVG5LRlLonqSnuzi1k0kvJmrg7rBdHAzqsv0zVt42XyXjj6KEpUzzwvBOdWKIJofsx kXKykLwmd/7ANNalaaD5TKgERcRFyCPeTHRRLmE8VissOpTOORNraNolvZSsJrys5CW+h9GM k6EjXue4NzRMsNJXrg89YW7dXhTBD9YubZw0ESjVVN1EIK0pYSIlPlH0d6DCwX3deVN288Iw YV50LilQddXExtzQ1MLEgEBTykSntVVeLplIucBXQ7LToOIOu7CAG5r+w8TKnRihm0jC1ipH gSJhgC4U57fDVOempqYm7jTpOtzrN/HnpwLpTgwIE7ZWlswNCvVjOJxppdhzrAlp3okRsYnO wHZdiJww0SXLVZsQQ/9x4Rz8bhHX17m2Hh5roik/hmhupCsiv5+I1luf7MTOP9NNfAHdxBfQ TXw81n4AVa/LQcgjCusAAAAASUVORK5CYII=</item> <item item-id="26">iVBORw0KGgoAAAANSUhEUgAAAUIAAAAvCAYAAACWsMOsAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAknSURBVHhe7Z3bleQoDIY7gX3eFCaG zmKTcB6dQUVTT5NJBVMrIXBxERiDwNDmO4cz7UthSUi/weXp/novFovFzVlCuBic53v7+np/ eW176sMz8NzA5g08WbjQ2HJj+dzCMf9qOOhLCBeDA8Uyleq5qIKe2P4eYIy+Hy+9FaNtHiwh XAzOvEL4enzPNXO9EIxVWgynFMLX+/H9mdL+jmT4jT7VEF/WxCn8zIzBfj3e36zdFAOTR3Y7 nhX1pq+tz+37He+2bR40nBGScMyYw3F+o09CPLeDuHxuJOfiN6MQoq/pZ4LBclA9R4T4DOhr N1vx5vH9gOhxLCEciCWEPLlxoRnGufhNKIRQ0NvBjIl9LqYEJjUruoaetsZnhZcIISWsmQaX feM1imhI+GIYSQgl/YqAd2hM9if+S9fZfTfHXhST3Q5zgpk1YNvv8mTz9rQ+E50BGNoWQAte j+1QIPgvCCg+4f5r6Wor5A3fZ9s8YIQQHbRUWSX0rEIo5YthJHGX9IuDEt0WK3ygTdcxx4wN tL3HRYmkscc+5n1uF1M8FgM+c33AT4A5cjwWvLhQfs0hhK1shfFmb45t8yAUQiwq+4JOUgOq 6EwyQzA2bbQ6zxaJY9FQhdUyyaO+mIIMmzOwI/qERP0i+wK/GHsCOwNfAbXPFiqKmzrHOWbt B+LfALrnhdsccE76hMHIszc9y/pbPo4N6Gsr5jB3I2mbB4EQ8gWiDXOSXxdddGmTFg11nUjA pEj6AgQDbEQ+atP1PiFpvzwbtU/u6Zl2OuONYPLrbecYFYXpLrBvxz0v3OZoWwDiQFyOng8i nLjQuLj1tbteM46V9LaVf07YNg/4GaGd/HaROQWHQADMjDCAEQ3oOwhOQ+eSvgDsnc7/jMMA PiFJv3wbaZtN5CM7Vb9egpsbnzpmbPAEzTlG2yQONxBCiFGQUwx+7hmh+OwTHMdKetvKP2Pt LYSAcfTT3CKLC4XBnOc3W0TzA1ND3JdwgAkqznD/OD4hR2NkTKDzwvHKslMLYewaap8WRoyl 2jZ9KrHW+/Tn9nO0PZ9tN4Yu8wlh2lzKr09sPs39nOA4FnONrXheeNoFQuigisFOVFsQUgl8 TNtBZPB84YWQ/Av359HdJ8Txyx4faBFbsuxU/R7d9Frz24QwF8FxbI6srXheeNpwQmgwd4ty Mew+iFlCSH7NLoTKBHsp65Fl5xLC8wgLocg4NkfWVjwvPO1KIVSFYJQeCg223QfBVgAK6DqI vi+wixNCZVNF8XdPzMAvd0x4sc+x09zoPvG6hiWESPk49kDWVjwvPO1KIfQJZghYLBOJhoc/ YMoeKHxuEHO5PjH9mxMJmm/S9Xbm8vP+8+dH/zwBP3/eMubONI6ytv797x8mhpAH/25wpTac FsLt8VRO00whdDYbnELrPvoPJA3Ufn2rVZlyqU8IJaSxYRf03S5907rczjPAWA1vo4XIjHCm cZS3FQUzPAXyILLkluCcEC4W3ckTQpzdy4tB5IaZKkgRIbw3XYRwf6REQr2EcDE4OUKIqxR8 rNHiWaa/7NMzoJhNSwiraS+EeIPTM1UliDBbpQOLxagcC+Hr8YCzMLnPPNoAQYv+ZwAbXwgB LJ5YUQ4vhLl+X0dzIcRl+n4BfWPTW4vFoBwJISTyg46r5XF2sZQLYXIZvoSwmjNCGDy28BoH 9m+PnxpP/fNiMSgHQgizM62D6uf89x7PCaFTYCl7lhBW00MI7TdDAiHkOurZeJhENC2Rcez5 FzWe+f2Sbjv6QTaFIS2EKom9fuKvPyViHp1J0mdsE+ia+nmkYytwIITstQUbT4nfV9mKIW27 ND4UwsViPFJC+IRlsVsaatmTVTAgDoVL40D8bNaMsJrWM0Ico89kQ98k9NZiMShxIYz+lhIo gGMxKhdCmhFGluBLCKtpLoQqR6xvjaHfJYSLweGEUN/FVbLbr8zY+6ElZ4Y5gkCiuvdntajY LSGspvXSWKFn9es9wsUkcEI4MMML4fh0EUKPJYSLwVlCeDfmF8J9uum3K397SSWz+CRqJyQd 21fdL6QoYwnh3RhHCKsGk57T2J/P+fOGzRBJzMF8iiJrJ34p4AgfxFIJYn1AT3Cj3z4zm4g2 sneQ3z4TFtM5aj8viZQtI/mUQtbOQAgRJYa5Ly1LcJcZ4Sw5Zmhnb3RG2DA4nhCSc/tSqOjC boCumzlJ+GIYxacjZO1khVAvm/stke8ghJK52oO29g4ghAglevk1vSB1nT341PpiGMmnFLJ2 8kJI11hCGKF4RiiVq71oZ++4QqiWQ6awoBDMe0j6Ab1rHxWK2RfMSmJ9NcH2hX7+iMSnOUV9 yqfMPrsRs5P2B3baTjJ+p2eEvf4IOVyv+LMXICKEo+UVh22vRqi2xxRCVSBmZqEL6uhFVasY HU73VUs4WGVfACR8Asr6bEHKTu+YtjFlIieEStS8MUz1SefXxKJtAYgDMSgTK6lc7UWtTsTh H+m0zYNMIfTe3k8qPVOM2AfuON1XLRnJhagEM4PIkfAJKOuzBSk7/WO0nSpa3y8jap99eX3e akYI8Xb/wFkuUrnai1qdiPPcOP/a5gEjhDQAnzsPJXdW8FUw9Ge9Rj6c6EsI1xfaDoufBjXc Dxz6VNBnCzJjb2x2Z3Y+ZHu8L0Nen7cSwgp7q3O1M669UrWN/XDvvrbNA1YIQ4yT2Epe0LWR 7Os8fHKRTaXJ1aJPeey4QxNJqrw+7yWEGBOZvJ4jr2zsfCiNAYw3u6QeQggNdDeSETDJvvJp cZdt0ac8lKQql3B5JfJsNq/Pewkh+lv32pJhjrziqKhtyCPet7Z5cCyEwTMPK/nPItlXIVxy pZeJx7ToUx431nyRnSWvz7sJYZjnZcyRVxqh2uafDyIDCKHYH3WX7KsQP7kosepEoUWf8viJ ibGvvQnl9Xk7IVRxqV/pzJFXGpHaTo112zzInBEK/VF3yb5OQ0Vqrmu3chta9NkCEixj215I 6htI3FdyM8rsc9+GVhSUtgXQDPS72O5Z8spCoLbjs0HkaiFcLC5lUiEEcAY3qen9iT4bNCwh XNyaeYUQweXtEsMDsmbPSwgXtwYKwFoali67rgTF8IpXxcZHjy0zmBQzry0hXCwWi1a83/8D TXB6exWiIkoAAAAASUVORK5CYII=</item> <item item-id="27">iVBORw0KGgoAAAANSUhEUgAAAbYAAAAvCAYAAACPF+9PAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAqhSURBVHhe7ZzbteMqDIZ3A+f5tDA1 pIvThPvYHaSaPE0nKSZHQuBwN3eDrW8t1mxfgiUQ+gEn8/NhGIZhmAvBwsYwzEBen+3n5/Nj le0lL6/AawObN/CEMaG+9fXla3P7/Kdjp7OwMQwzEEh+S6mYiUjQC9s/Amyjx/Mtj0L0jQMW NoZhBrKusL2fj7VWlieCbRUXtyWF7f15Pr5LzmsGwxV9vEO/6dzN3xjhbaQwhZ9ZsaHfz8/D aze1gYohvRyvWkYz1tbX9viEq+0bBx1XbJQ0VozhdK7o4x36Tedu/iby2g7a5DspyGu7FYUN fY2/U3O238R7OGifCX0dZitOBh5PaD0fLGwTc0Uf75bo7+ZvCqltQiuAvLZbUNggQW8HKxrv eyUhGLFVyzmMtDW8ajtF2Chg1TK17BtAsySMFr6EuKKPMyX6nn2nuEOcSnAGjcnrhf/Sc3a/ 1bU3tcduh7pBzeqx7LNwsnl7aZ8JztAV8Jk5giuZ93M7TPj+L0xQ+7jnz2WorRA3/jr7xoFH 2NBBTWVFQK8qbK18CXFFH2dK9D37TnGHOEXwGab44At+eo66pmyg471NhOgpe/Rr1ud2ccRr IeAz5wdXBhgfx33hFwuKrTWErZet0N/eyU7fOHCFDQeV/kAjqAEx6FQwQ2Ns0mhxn54gjhOG GFg9g7zUF2n795o4meljoI7WBH1UScctRvDO2G9IrV+X6EP9+VoxjE31ExDndD+oLcU9xjXt PBD+hpt5n3vsA+6J3zAZafbGV0F/y/uxA2NtxXu1nLvTNw4cYXOS1j7I1N/KEelccOuBrods p9mi3WBtKfVF33rAICjxMb2OOqI+Ak4QKzEPtvv5/YbU+nWdPrTsk36q4ywbjZhHMJnJY+Ma JbnvMyz7dsz73GMffRNac6Bdjt6vIU48AjRWzByzu17Tj5WMttX/nq1vHPhXbHrw64PMGHAI NMC+yrHxJAyoWz8OD5hGtPDFuU/n2EdBtI5KYj4CviB2PmMwQb8hLf1aug9t++jY8R05slFc 1+rC56qkJK4pGyyBMq7RMSX7GwgbtJG3rS3seCSh0M817MdKRtuqC+GX0cIGKEe/xRxk4aSo UPfZxWyAEQmy2hfsOO+MJM1HQbCONoR9dIOYoATknp+n35Bmfi3dh2Sjam66LxCzRzbi9cgz xDn5eWxfcaweLMRXnpOf2++R9nyPPe23s56wxc2lmPu2zbeYn2vYj8WcYyt+3m3DvnHgFTYD MRj0QNWTQSyAjxEN1tE5hxJfEmdsUVrUkYrlo18AyO9Sm4b3G1Lj19J9qMcolFi7H9ko6j2Y yHXnasKWSsN+7E5bWxcRNoVS/4AgJHC+sClCvsD56plTizoySBIA8rd08MwrbD6/Vu9DSjKi uSGJhN9nJNgo6mVhy6KxsDXpx+60tXU+YRMDQSk3DDQ4Nl+kag1QwNAEWeDLa/sm0lJa1JGM 7SOc8gmAaPeKBHfOhKTMr/X70IxLv6Cn2AiJxGrDc2BhQ8r7cQRtbZ1P2GzEoNMTBw6WhRKk zoEvRmfAvSnfjLJpUUctdlBS8vcHaiqn9pskxa9r9KE94SKB0pv/fBtz+P38+fMr/16A3z+f Nuau1I9tbf373z+eNoQ4+HeDJ/UhW9i250s4TTM/09kscIkr6zglSUZ8waS52yZKvni3qKMO CkbTBipVzX12vyX6dY0+pASjnr+L9t4Hj89Du67OjbUxF+i/U+KmkCYrtpX6sb2thgjuQBx0 3HLNEzaGYZgq0oRNTCqaC2BgUhRLsE2E7d4METZYqNAWPoksCxvDMANJETbcScGt5R7vm+xt NrlCCdnEwlZNf2HDCYtcNQqBg9UlXVgFCMLgD8IZhpmfY2F7P59wFyarnG3z1NxgCxuAyTCU ZKcXtvlzYndhw23S/QFyoiKPFoGFjWHW5kjYYIw/6brYjkxOfqm5gRKfbkJ025OFrZocYXO2 ia3iA+vX+0/0p/x7EVjYGGZtDoQNVk9S18Tf6b+7yxM2I2HG7GFhq2aEsOnfhnaEzVfRyOLH E4iqRGZz3vsnKH4iPkZGlff+k4qf9f3yFT/X9LWm7MgX+9QMcWETScmqR09aJiW5gT6jm0DP lO/zDFuBA2HzPrth8VPi91m2YpP23Yo8FLb5gQ7lFRvDLExM2F6fpyViYpspKQGm5gZX2Bwx 0+EVWzW9V2zYR9/JoxR9ebQILGwMszZhYQv+L/CQ0I7FpVzYaMUW2PJkYaumu7CJGNG+FQn1 srAxDDMQn7CR2FDy0r/ir5+HEl25peQGEsm9Pq0ExYuFrZreW5ECuerm37ExDHMCPmGbmOmF bX6GCJsFCxvDMANhYbsb6wvbvhy0ywz/Y3UFV/VLwf7NR1ObIYl464p947AXLGx3Yx5hq+pM 2hfXP+9/KXwC7FcE9m8+2tqMX5IwhAzaVQhcfeNmcKP/3b9J3A6kk72T/O/+7mDKo/bzvWC/ 4rB/89HWZkfYECFuqT+CbsFdVmyrxVs/e4Mrto6NYwkbObdvVRQ92GygOWbF7Ncx7N98tLXZ K2xym3LcluQdhK1l3I6gr70TCBtCgV7+TKuRhs4GY7Bfcdi/+Whrs1/Y6BksbAGKV2yt4nYU /eydV9jEdoUaWDAQ1O8m5Atu0z4aKOqcM8sM1dWdO/hFf5MdZjESV5Z/iXV24+r+xQjZTOcd m3WHPW0QX7H9Pa7TeG6pyMLzjDonp4mwzRxjCt1eSaOcNqewiQGiglgG9tEPJbXBaJBdV0tu 4hdQ9iWBiH9AWZ0tuLp/MWI2W9ekvTFzfcKGSecrUvE69ckc1lUW430TWnOgDew2S6NV3I6i Nj+GcRYBgr5xkChs+leMwcmocnsGI9aBJ7LraslN/AJ8CYwGkQpUHxH/gLI6W3B1/2LEbLav 0bHjg4btI4mafi6jTifmU+mb0JoDfm5FAdAqbkdRmx/DvDaff33jwCNs1AHfmQQFd1Lji8aQ n7UK+ZBRVwfu4Rcdu8mIAjecpL4+6UVWmV9nQ67un5fEmFP2mysvG/IjXJcio0607w4rtgp7 q+N2MKa9rXIa1uObAPWNA6+wuSgnsZTM0nRa1lXLNf3yDyCyr3QA9aizlKv7l4Yeb1CaJImM OmGlUdYuqwkbtkmb8bx2jJW2AfS3dwI0hbApaHbRJnG3rKuWa/nlH0BkV+kA6lFnKVf3Lw1K OiI34HZWk3e6qXVCuxQ/Dz67lLBBq3jfEeWzXowpyMainBacAPWNg2Nhe9t7zFrw59Kyrlqu 6hfgG0DxrapjetRZytX9S8OMMX/SzCWtztdWM2lbT9jc8V3GUjHWKKf5368hEwjb99sxCKp3 YUe0rKuWq/oF2AOIBk9d4utRZylX9y8NO9FgzNVOpo7rxHbZj53klwLUWWfkCWC71O/ALBVj TXJarK/7xkHiiu0lAh47AUuxPS3rquWSflEiUjbopdyeHnWWcnX/UiEBUnbuiVF8ww7PlUyq jut8aNfVufzn9E1o3cB2KLZ7wRhrkNPCqzWkbxxkvmNjGIapYVFhA4zVKhMn+G5NwcLGMMxl WFfYENxOZHE7IGl1y8LGMMxlgISmbcWVbnOdCYrbHN/mng3Zt57OpDazCgsbwzAMw6Tw+fwP zCy2pvRGY+0AAAAASUVORK5CYII=</item> <item item-id="28">iVBORw0KGgoAAAANSUhEUgAAAOwAAACdCAYAAAC3rZRwAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAm1SURBVHhe7d3hdaM6EIbhNHD72Brc xTbhPrYDV8Ov7STF+GqEZEYSAglEshO/zzk+JzZYsoGPEdgxH08AZmwHdro/Pz7uzyncHWt6 3j8+nvdrGgd+pGpgp/vH8+ML0iT93B6f4R6ALauB/XzcvrTySX+EFthXBvbz8bx9wzh1ut+e ZBbYlgX28/m4XXXMukN2FLeHewUAatLAutDcv7HMUWWBbUlgPx/3jsDMZ3k/XrcBlXm6cywL bFCB7RkOS1hVNRz28Y9rl2ExUKUC68LSerJJAqrnlePPIYH9xmNowIAlsB3Hr/IxzDWBlX0B x7FAzRLYnuNHPwRWwRoY2L7jaOC9JIHt+fjVV9nKSadkWucx6Vd/aQOw5HBgE0mFlRNSKrzT RGCBQS4IrDQ1V9cjH9EQWKDufGB9WMth8Vxp88f2EVigbgnsn1/PX3/C36dMz4eqrL1nff/+ /m/Q6wB+njFD4kSsrOHW2SgVFqi7ILDnEFigjsAChhBYwBACCxhCYAFDCCxgCIEFDCGwgCEE FjCEwAKGEFjAEAILGEJgAUMILGAIgQUMIbCAIScCm/2jeudPwdQQWKDuYGAlrFdcqoPAAluO BVYCqmfe+iFxP639d50ILFB3KLASqrbAxmEzgQVGOF5hWy/VQYUFhjl80slX2epJJ7kKnZ5G YIERDgc2kVVY/8v/sbG8Gu8gsEDdBYHNziAzJAaGOR9YH8g49HWhDfdfbRFYYJgxFTYRjl/j ZSYJLDDMBYF1dNW93cLflbPIGQIL1F0T2BMILFBHYAFDCCxgCIEFDCGwgCEEFjCEwAKGEFjA EAILGEJgAUMILGAIgQUMIbCAIQQWMITAAoYQWMCQA4G95hIdEYEF6joDe90lOiICC9T1BVYC qmfyPwWzHVgJYPKcHQQWqOsKbBG+ncD6+WXYTGCBIforbPGbw1RY4Kt0n3R6Vc38pFP8OdOH hHr5XWICC4zTHdjEq8KqM8dZIwQWGGdQYOPf5Q+GE1hgnOOB9QFVw2ICC1zuXIXVCGxieoRL lQCHfT4fjzQMgwKrrwerzhq7NufH3K2x8Z8QWEYJGMZl6Kaq4LgKO4j9jX1ye0VqK8b5dKO1 GAkCO9jn414cFgCnuMPNe9io3iSwesie3ubhxvyxVHe/xXG79KMOCYAh3PYZLt/6VhV2useA BmrP1S9+9qwDuyxYYJylELx3YM/KK6xbhj1nxIFWsu3KpmUrsD4gB4auQRLY6bEETQfv9Xft 21v58LolsKotfzs7bB7dXnRVu2t+al9ifH82A/tSPybdqnDyppd5Y9Diws1CGheyhFCF0rcR +8imyWsv+5c2s1CfWoGj24uuanfNT+1LXNOfbFtSbN53SLxbYedJ6f1sZWTzxoWakBWm35B/ jlqBfoXGHYbbEd13joGr7clrizub9NZ0GFBtt7JzXFlJ6zusFaf60vOodVFzenmN6i+Q6a+2 9Pre7sd4YCsrVm4bT04Cq/mFGhaS/lsU09SQPJt3bYMtHvPPCSsweX54TzsnrTbbc4r3GDeQ jeUittudX9trcmgznd09v6EfcaYv/bGZH+1cvLyG9uf/Xl/fe/1Iu4YDe0yxciK9IJOFmt/P QpXPKys7f/F+A8jb0ytw2Xh8+y0Vttaes/oe8+es2Ww3C1G4n/dTbKw1A/ryiuW3YuTyOttf 8fzK+l7pR16nLJM3Oek0r3S/5yyqgJp2c8vgNZ8sMD1NhzQ+5vZ6r3nDtJUX5zfk+Bw9/6v9 lY3DC8O2rM16e/OKLTfuuZ3l8d5259cZZ5/nK1+zf7x4/9f05cnyTirRVcsrON3f3voOin7m 1yndvFWFvZ5bgdmCLvjALxvMshL1ik1t/iNB1t76Bjj3kT/e3q5+je5WWUF+Q61MG92X57bZ 8r1et7xG9Je+P/24UvQjz5nnJbBDLQu2qliBUdhbr6zczeXRtAHmFaO3XTW/205qx3Hrgb2m L/+eimlXLS8xpr/F2voWa/0sjxHYwTa/S+xXntq7uvvpN60aNgAtb889tLYB+iDtDcO0ot30 da1v5KGf3pV3sK/pnm/oDU4sryH9uft763u1H/U8Ajtcx3/r+BWqNwzZ63YEa0W+Ac4b3/pG 3y7fsObqkK+nQ4Et7PeVbCNFCPq0LK9h/e2s71o//LfOxZr/Y8evFBdwt4HOe+EyBO3mDTu2 o2/nluccoNjWa0OW4ap/LGxwr/vudrjD/b5uanp8rGlZF9qWlwQ6nX5ih7qxvuv9pAXgQGDz N3pgqLDhJwTWb3h7H88Au2QHluarM7BpCZ/3fAQW+Cp9gZWA6pn8mLwWWD28aR9GEFigriuw EqbWwPZ+pSsisEBdf4XV1XKzwiqt8zkEFqjrPunkq+zaSScfShdmV1nl8aQtmUaFBU7rDmzi VTnVmeO1RlzbrZ8DEligblBg499rJ5dcmBurqyCwQN3xwPqAqmFxJbC9X+kisEDduQqrrQQ2 CZ+b3vKVLgIL1A0KrP7Mda6oR7/SRWCBunEVdhACC9QRWMAQAgsYQmABQwgsYAiBBQwhsIAh BBYwhMAChhBYwBACCxhCYAFDCCxgCIEFDCGwgCEEFjCkM7DXXqZDEFigriOw11+mQxBYoK49 sBJQPYP/DadKYJPfd+q7ZAeBBeqaAytBagtsHDbP4ey9ZAeBBer6KqyukM0VVtl6TkBggbqu k06+ylZPOumhr9wqgaXCAod1BTaRVUs/3I0N5NU4co/vXbKDwAJ1gwKbnUFeHRK3XbKDwAJ1 xwLrAxmHvi604f7r+SuBbb1kB4EF6o5X2EQ4fo0VNAtsEkI3beuSHQQWqBsUWEdX3dst/O3a 7LxkB4EF6sYFdhACC9QRWMAQAgsYQmABQwgsYAiBBQwhsIAhBBYwhMAChhBYwBACCxhCYAFD CCxgCIEFDFkC++fX89ef8Pc3+vv7v3/idQD/IiosYEhnYLlUB/CdOgLLpTqA79YeWAmonsH/ JMxeYPsu0yEILFCXBHbrN4MlSL2B7b1Mh9DPAZBaArvza4bzEFhVyaYKqzTOP93bKjHwjpbA uijdd8aivspWTjol09YqqQR2t8LKELpjJwC8GRXYzrAkFVNOSKnwTlMZzJ0h96zt6gDAu1KB lQx2HD9mQ1x/jOqq63ooG4PYFGrgfSWBlRBuHsdGPqzlsNgHs3hMcpjer+H4FdiWBvbwMeT0 fKik6eAlH9Ns7hD2j6GBd5cF1sk/b20SK2u4hefHYfJyq1dQqiuwrwys8+VfXuDYFWiyGlgh 1fFLQnuoogPvqRpYMQ9pjxzTtgjDaMIKNNsMLIB/yfP5P2HXLEPLV9weAAAAAElFTkSuQmCC</item> <item item-id="29">iVBORw0KGgoAAAANSUhEUgAAAHgAAACdCAYAAAB/7bzjAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAApoSURBVHhe7Z3ruasqEEDTwO1j15Au ThPp43SQavx1OtnFeGcQdEAegwxizKzv897EB4qLARRy9mNWbk1e8PSaH4/XPNmvskzz6/GY X30SVyxJwdPrMT9OuPt4nuf7135TpIkK/n0/T40sPJ9K7sNe8O97fg6oN6fXc1bH8gSCf+f3 s1ebWwAL1vMNV6BI4guGm/waGEYaxfJ4gn/fr4obvPSCH+siEPnQa9e2WBYiuKZ6Rrkk2sQe pyBdraZFIYLh5nI7VyiU7ovtp4jggX2Am7IJrmh/8bGmj2AsO9oOS7IJrmn/TJVMRAgKrusH KCU8wTWPvyaKE50sb1tlm3r2S5a7c1iwhxfB2AEjsqdJBQ+kg2BMaoneI488KliWdsFG7r6a XiI5XFdGBcuyCf77M//8tZ+bmOY3idzaXvG/P/8JXUcC00GsK3QyLAX+7MIrU0V7uMi1S2Wi PSP4rCHQHGcPj3YQ3EYvwVeq+vFazpL8HYKxn5BJFM8ZRrZZZ2qheBODkZi7zlialLNe6HyB 4Pzrz1UkPSkUCPdWLyrKdixT1xlNMwTTOOG9+/0FE1kpohIdcF/C6nR6v+d3YwQjZ0Tx7QVz Xn2mZUD0v4P19j61VtGGSOGR5uaCeaNTcRnb08AmYRMuIhjP0bmavrlguIGMxHIyzDb33DxB 1WxtyAjuPzx6b8GM9hfJy8BIXiSg1KVnvS2pKpYnGNPs2w7fWzCzjcvKgDRi22QiGPfrOzx6 e8HFtFCgi0i7s5ETrAvxBIePTZE0U4jmN4IKHowKbkEFq+DRqOAWxIZA+9F7eFQjeDAawS2o 4BbBwcC+0CwJFSzLQcEol7yBgWNV8DGuKRiF0p3Ng35CsNnGfx2ngmU5JBgviifYVeMqOMV1 I5j70xWN4CzXFAyYKE52snAYjG5TwSkuK9gjiGAzrOYSC6O9gAqWpYPgoIf9AVU0njM26hNb b9YVaqVtn/yQIiKa3wjtgo1AVxWDZPt9TeviglcZwY7R9ZCX7GxLBPPrpuGYvCf6JpbrC95h 218vk/eJ4BVIOzaZAI+h67G5yk06+EDBgJFqo/oJGTaf8yXZ8RmCt8l3IeEx9xTcwPUFb69o o+LgnLQwq+CA6wteMNsStZJ5inA1WKF5UsEtdBQMiUMkF5odjObCBajgFnoKLsnD7Yx+hwpu gZMnI8JWp3TnyHojPLav7VSaVe445i8WVHALF8lTDhXcggpWwaNRwS2oYBU8GhXcggpWwaNR wS2oYBU8GhXcggpWwaO5oOBtPHRZeAP5XFSwLJWCgwl1cIwKbuNaglEo3Yk5qSw7rBYwUrC5 VlMrhYP0tNaK5ZfOA+fPP0MuJXgnqyB4vWEVORgmGPKSmjFZ+pdw6HYzm6PiHze7lGDcxyuh N4vgFThum0dVmIMVwrgnlGx+TVr2ftPPUUgtQxKs7mQZYS4hs9jMuAuA0ozrXVqfJzgxY9Lk jyEZ9xOJYCcMpdLPdrMHNhHxglAt2MMkhoLjpQf5LMGlaMXthej0or9MNr9UViDOI7NNSLD7 vD/JZwleMNecEDm9coKhAFREL1IteML/k0Jo1tvgwiVI7LhgL2HI9I0EG1FRwVgVpgXn5cep Ewz32vvFiG0KE/ceaYtgyp0Ew3HRa4b1qerXu264F5x/BBWpE+zf33VSfX/B9DmQlGK8US7K mYmPEmwKYuxaU3kwN3WJIH+iOy7xmx3jQwTLMUrwKA4LNt9tMKng65LOb1gr0u9uHUKeYGAJ 01LBgxHNbwQVPBgV3IIKVsGjUcErYSeDLKkLV8EawaNJ5TdakCsXk475L6IRPASN4BZUsAoe jQpuQQWr4NGo4Baq8uS/08XFHYvX5NbFhwvTx5bg53c5R+29UcGOCScebWyD93hjEyM6juSx ZTSCWzicJ3gke9GZExHZScixDC4oOKyO+KWVwyUEg9RtRoZ9/saEIL3UjI4V79gy7PzS2mP9 TFwkEqkUHJRgOOaOgvcT3e2NZCRW++diefl1IgOp7t4bD/GapU4wJkR38qqvEPrmKX7yGOMF 76vYRZrNT3bWZF31jLRF8LJp951QJRgvhiv46M85xguGCAnzuF77IjmdZnAsg0sJxn28aMwI 9uDuBwwXHB7jXftSPSbTPHC+awkGTBSvbQAuNvPuJMFPVwy47UMiOPaIQ/O8drJMfv18is+L XiHN3RPytDZ9eD66bX+PqwV7mEziSUjDH0sE0i72Pi2jBZ+NaH4jCAl2n2PVBMhnRi+igmU5 LthWUWtVkRBcW22pYFnaIpgSEexdPGznvABQwbIICSYNva2yj/6cQwXLIhfBQqhgWVTwYFRw CypYBY9GBbegglXwaFRwCypYBY9GBbdQlScyYGIXdyxek1s3blblMVSwQ2dVnsO4CKaQqTdG akR2EnIsAxXcwtE8eQMj9j07JgTpDZtVeRAVHOF6syqPo4J37KvYS8yqPIgK3gHRSg/CNvgK syoPooJDwmN2nayM4APnu5hg2xatC/9xgMtowdecVXmcCsEolzwiwP53FHw21xGMQukOXtUV YLa5wmA7JyYCSs+QKlgatmC8EJ5gV40vMmt/wqKCZamLYBqB7Agm5I6xqGBZqjpZJoptZ2NZ qCxaFeOSEKwR7HEpwR5BNJrq1yUQRrsD1pde9algWYQEBz3saBUN+zB+wqKCZTkm2Ah0VTFI tt/X4yOCuc+IKliW4xHsEbynDQR7mYBtudEWFSyLkGCARvXzaT9DmpU/YRHN8N+f+eev/XxR /v35r+s1ygkWQiNYFhU8GBXcggpWwQieMz5bY3t54zabfW1/IpX2tk++v4Go4BYgT5wXK0bG 7qT2nTpdjx1J70kh8uhHnhJM2oXM1E7xqeXegguPZI69iCVyw8KB+9F1698OTMEoYNOrHOUt 3FswRiEjsZ1gG53rI57dFu6XFwyFJPaXxD2wIPFeAB3l5oJ5NzAUt3yH43CVkW3bW7hHdIAl LdgNmRYiHPdjvL5t4eaCMb1yGxcTTMVQkWZQxcrjvLTJznphVOGt3F4wJFhsh2OCi1UxRnPx QjGS04J7t7/I/QUzqulQKBaK7V06SgpEoNxcZDqyhYDXP2jlCwQDuRttZNkql+5D1q+r3bqw 3STttCks9rhchJ8Rvch3CAZ6pXsIuNe9217H1whGsC0dnkesBU68iE3wRYbWeg+fLb1gRvsp jn10OrmEfVUEfyOVgm0pXBf5SFDBslQIDh4XsC1RwZeHLxiF0h3s+9q8i+Wl/RLtvMcCFSyL JzjXdccbXyu49mcrSO/hs29jE1x6pWeqZBKFrAgmMPc/6wXAt7AJhltfenVmojjRyfK2xSIV BRcjuP/w2bdBBFfeXC8isQNGZE/4x14CCk3AAqTTefjs2yCC0VlF+xdUuW4YLS6RKY5VCJQa PMEojTPFZZG7r6aNyN069OZ/T6Htrzy+4MNt4DS/iRkqynvsyRagch9AqScQDITPuyxc5NrF Hu+q7W1JR6hGbx/2goHTXzZo29uNqGDktKG1QzWGwiUpGOk7tGardZXblaxg5dOZ5/8BPvls 11somdEAAAAASUVORK5CYII=</item> </binaryContent> </worksheet>